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Finding the Third Proportional to 531,425,751.75 and 748,038,457.69

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Solution

The third proportional to 531,425,751.75 and 748,038,457.69 is: 1,052,943,957.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,425,751.75 : 748,038,457.69 = 748,038,457.69 : x
  2. Step 2: Convert to fraction form
    531,425,751.75/748,038,457.69 = 748,038,457.69/x
  3. Step 3: Cross multiply
    531,425,751.75x = 748,038,457.69 × 748,038,457.69
  4. Step 4: Simplify right side
    531,425,751.75x = 559,561,534,179,493,696
  5. Step 5: Solve for x
    x = 559,561,534,179,493,696/531,425,751.75
  6. Step 6: Final answer
    x = 1,052,943,957.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.