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Finding the Third Proportional to 484,366 and 746,987

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Solution

The third proportional to 484,366 and 746,987 is: 1,151,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,366 : 746,987 = 746,987 : x
  2. Step 2: Convert to fraction form
    484,366/746,987 = 746,987/x
  3. Step 3: Cross multiply
    484,366x = 746,987 × 746,987
  4. Step 4: Simplify right side
    484,366x = 557,989,578,169
  5. Step 5: Solve for x
    x = 557,989,578,169/484,366
  6. Step 6: Final answer
    x = 1,151,999.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.