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Finding the Third Proportional to 457,101 and 695,844

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Solution

The third proportional to 457,101 and 695,844 is: 1,059,282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,101 : 695,844 = 695,844 : x
  2. Step 2: Convert to fraction form
    457,101/695,844 = 695,844/x
  3. Step 3: Cross multiply
    457,101x = 695,844 × 695,844
  4. Step 4: Simplify right side
    457,101x = 484,198,872,336
  5. Step 5: Solve for x
    x = 484,198,872,336/457,101
  6. Step 6: Final answer
    x = 1,059,282.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.