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Finding the Third Proportional to 477,902 and 745,885

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Solution

The third proportional to 477,902 and 745,885 is: 1,164,139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,902 : 745,885 = 745,885 : x
  2. Step 2: Convert to fraction form
    477,902/745,885 = 745,885/x
  3. Step 3: Cross multiply
    477,902x = 745,885 × 745,885
  4. Step 4: Simplify right side
    477,902x = 556,344,433,225
  5. Step 5: Solve for x
    x = 556,344,433,225/477,902
  6. Step 6: Final answer
    x = 1,164,139.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.