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Finding the Third Proportional to 457,275 and 695,031

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Solution

The third proportional to 457,275 and 695,031 is: 1,056,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,275 : 695,031 = 695,031 : x
  2. Step 2: Convert to fraction form
    457,275/695,031 = 695,031/x
  3. Step 3: Cross multiply
    457,275x = 695,031 × 695,031
  4. Step 4: Simplify right side
    457,275x = 483,068,090,961
  5. Step 5: Solve for x
    x = 483,068,090,961/457,275
  6. Step 6: Final answer
    x = 1,056,406.08

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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.