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Finding the Third Proportional to 525,044 and 792,372

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Solution

The third proportional to 525,044 and 792,372 is: 1,195,810.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,044 : 792,372 = 792,372 : x
  2. Step 2: Convert to fraction form
    525,044/792,372 = 792,372/x
  3. Step 3: Cross multiply
    525,044x = 792,372 × 792,372
  4. Step 4: Simplify right side
    525,044x = 627,853,386,384
  5. Step 5: Solve for x
    x = 627,853,386,384/525,044
  6. Step 6: Final answer
    x = 1,195,810.99

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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.