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Finding the Third Proportional to 354,534 and 758,906

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Solution

The third proportional to 354,534 and 758,906 is: 1,624,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,534 : 758,906 = 758,906 : x
  2. Step 2: Convert to fraction form
    354,534/758,906 = 758,906/x
  3. Step 3: Cross multiply
    354,534x = 758,906 × 758,906
  4. Step 4: Simplify right side
    354,534x = 575,938,316,836
  5. Step 5: Solve for x
    x = 575,938,316,836/354,534
  6. Step 6: Final answer
    x = 1,624,493.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.