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Finding the Third Proportional to 477,748 and 722,798

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Solution

The third proportional to 477,748 and 722,798 is: 1,093,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,748 : 722,798 = 722,798 : x
  2. Step 2: Convert to fraction form
    477,748/722,798 = 722,798/x
  3. Step 3: Cross multiply
    477,748x = 722,798 × 722,798
  4. Step 4: Simplify right side
    477,748x = 522,436,948,804
  5. Step 5: Solve for x
    x = 522,436,948,804/477,748
  6. Step 6: Final answer
    x = 1,093,540.84

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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.