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Finding the Third Proportional to 468,417 and 707,728

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Solution

The third proportional to 468,417 and 707,728 is: 1,069,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,417 : 707,728 = 707,728 : x
  2. Step 2: Convert to fraction form
    468,417/707,728 = 707,728/x
  3. Step 3: Cross multiply
    468,417x = 707,728 × 707,728
  4. Step 4: Simplify right side
    468,417x = 500,878,921,984
  5. Step 5: Solve for x
    x = 500,878,921,984/468,417
  6. Step 6: Final answer
    x = 1,069,301.33

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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.