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Finding the Third Proportional to 475,944 and 738,081

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Solution

The third proportional to 475,944 and 738,081 is: 1,144,595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,944 : 738,081 = 738,081 : x
  2. Step 2: Convert to fraction form
    475,944/738,081 = 738,081/x
  3. Step 3: Cross multiply
    475,944x = 738,081 × 738,081
  4. Step 4: Simplify right side
    475,944x = 544,763,562,561
  5. Step 5: Solve for x
    x = 544,763,562,561/475,944
  6. Step 6: Final answer
    x = 1,144,595.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.