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Finding the Third Proportional to 480,854 and 748,497

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Solution

The third proportional to 480,854 and 748,497 is: 1,165,109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,854 : 748,497 = 748,497 : x
  2. Step 2: Convert to fraction form
    480,854/748,497 = 748,497/x
  3. Step 3: Cross multiply
    480,854x = 748,497 × 748,497
  4. Step 4: Simplify right side
    480,854x = 560,247,759,009
  5. Step 5: Solve for x
    x = 560,247,759,009/480,854
  6. Step 6: Final answer
    x = 1,165,109.91

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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.