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Finding the Third Proportional to 477,114 and 730,960

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Solution

The third proportional to 477,114 and 730,960 is: 1,119,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,114 : 730,960 = 730,960 : x
  2. Step 2: Convert to fraction form
    477,114/730,960 = 730,960/x
  3. Step 3: Cross multiply
    477,114x = 730,960 × 730,960
  4. Step 4: Simplify right side
    477,114x = 534,302,521,600
  5. Step 5: Solve for x
    x = 534,302,521,600/477,114
  6. Step 6: Final answer
    x = 1,119,863.43

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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.