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Finding the Third Proportional to 468,658 and 709,553

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Solution

The third proportional to 468,658 and 709,553 is: 1,074,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,658 : 709,553 = 709,553 : x
  2. Step 2: Convert to fraction form
    468,658/709,553 = 709,553/x
  3. Step 3: Cross multiply
    468,658x = 709,553 × 709,553
  4. Step 4: Simplify right side
    468,658x = 503,465,459,809
  5. Step 5: Solve for x
    x = 503,465,459,809/468,658
  6. Step 6: Final answer
    x = 1,074,270.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.