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Finding the Third Proportional to 466,716 and 720,684

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Solution

The third proportional to 466,716 and 720,684 is: 1,112,851.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,716 : 720,684 = 720,684 : x
  2. Step 2: Convert to fraction form
    466,716/720,684 = 720,684/x
  3. Step 3: Cross multiply
    466,716x = 720,684 × 720,684
  4. Step 4: Simplify right side
    466,716x = 519,385,427,856
  5. Step 5: Solve for x
    x = 519,385,427,856/466,716
  6. Step 6: Final answer
    x = 1,112,851.13

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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.