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Finding the Third Proportional to 484,160 and 746,656

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Solution

The third proportional to 484,160 and 746,656 is: 1,151,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,160 : 746,656 = 746,656 : x
  2. Step 2: Convert to fraction form
    484,160/746,656 = 746,656/x
  3. Step 3: Cross multiply
    484,160x = 746,656 × 746,656
  4. Step 4: Simplify right side
    484,160x = 557,495,182,336
  5. Step 5: Solve for x
    x = 557,495,182,336/484,160
  6. Step 6: Final answer
    x = 1,151,468.90

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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.