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Finding the Third Proportional to 457,832 and 708,324

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Solution

The third proportional to 457,832 and 708,324 is: 1,095,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,832 : 708,324 = 708,324 : x
  2. Step 2: Convert to fraction form
    457,832/708,324 = 708,324/x
  3. Step 3: Cross multiply
    457,832x = 708,324 × 708,324
  4. Step 4: Simplify right side
    457,832x = 501,722,888,976
  5. Step 5: Solve for x
    x = 501,722,888,976/457,832
  6. Step 6: Final answer
    x = 1,095,866.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.