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Finding the Third Proportional to 358,724 and 754,627

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Solution

The third proportional to 358,724 and 754,627 is: 1,587,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,724 : 754,627 = 754,627 : x
  2. Step 2: Convert to fraction form
    358,724/754,627 = 754,627/x
  3. Step 3: Cross multiply
    358,724x = 754,627 × 754,627
  4. Step 4: Simplify right side
    358,724x = 569,461,909,129
  5. Step 5: Solve for x
    x = 569,461,909,129/358,724
  6. Step 6: Final answer
    x = 1,587,465.32

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Why These Related Problems?

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