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Finding the Third Proportional to 475,674 and 736,680

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Solution

The third proportional to 475,674 and 736,680 is: 1,140,902.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,674 : 736,680 = 736,680 : x
  2. Step 2: Convert to fraction form
    475,674/736,680 = 736,680/x
  3. Step 3: Cross multiply
    475,674x = 736,680 × 736,680
  4. Step 4: Simplify right side
    475,674x = 542,697,422,400
  5. Step 5: Solve for x
    x = 542,697,422,400/475,674
  6. Step 6: Final answer
    x = 1,140,902.01

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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.