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Finding the Third Proportional to 531,425,758 and 748,038,467

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Solution

The third proportional to 531,425,758 and 748,038,467 is: 1,052,943,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,425,758 : 748,038,467 = 748,038,467 : x
  2. Step 2: Convert to fraction form
    531,425,758/748,038,467 = 748,038,467/x
  3. Step 3: Cross multiply
    531,425,758x = 748,038,467 × 748,038,467
  4. Step 4: Simplify right side
    531,425,758x = 559,561,548,111,710,080
  5. Step 5: Solve for x
    x = 559,561,548,111,710,080/531,425,758
  6. Step 6: Final answer
    x = 1,052,943,971.36

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