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Finding the Third Proportional to 484,640 and 735,680

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Solution

The third proportional to 484,640 and 735,680 is: 1,116,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,640 : 735,680 = 735,680 : x
  2. Step 2: Convert to fraction form
    484,640/735,680 = 735,680/x
  3. Step 3: Cross multiply
    484,640x = 735,680 × 735,680
  4. Step 4: Simplify right side
    484,640x = 541,225,062,400
  5. Step 5: Solve for x
    x = 541,225,062,400/484,640
  6. Step 6: Final answer
    x = 1,116,756.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.