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Finding the Third Proportional to 598,498 and 952,788

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Solution

The third proportional to 598,498 and 952,788 is: 1,516,805.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,498 : 952,788 = 952,788 : x
  2. Step 2: Convert to fraction form
    598,498/952,788 = 952,788/x
  3. Step 3: Cross multiply
    598,498x = 952,788 × 952,788
  4. Step 4: Simplify right side
    598,498x = 907,804,972,944
  5. Step 5: Solve for x
    x = 907,804,972,944/598,498
  6. Step 6: Final answer
    x = 1,516,805.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.