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Finding the Third Proportional to 358,731 and 754,641

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Solution

The third proportional to 358,731 and 754,641 is: 1,587,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,731 : 754,641 = 754,641 : x
  2. Step 2: Convert to fraction form
    358,731/754,641 = 754,641/x
  3. Step 3: Cross multiply
    358,731x = 754,641 × 754,641
  4. Step 4: Simplify right side
    358,731x = 569,483,038,881
  5. Step 5: Solve for x
    x = 569,483,038,881/358,731
  6. Step 6: Final answer
    x = 1,587,493.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.