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Finding the Third Proportional to 477,112 and 730,957

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Solution

The third proportional to 477,112 and 730,957 is: 1,119,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,112 : 730,957 = 730,957 : x
  2. Step 2: Convert to fraction form
    477,112/730,957 = 730,957/x
  3. Step 3: Cross multiply
    477,112x = 730,957 × 730,957
  4. Step 4: Simplify right side
    477,112x = 534,298,135,849
  5. Step 5: Solve for x
    x = 534,298,135,849/477,112
  6. Step 6: Final answer
    x = 1,119,858.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.