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Finding the Third Proportional to 475,761 and 695,778

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Solution

The third proportional to 475,761 and 695,778 is: 1,017,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,761 : 695,778 = 695,778 : x
  2. Step 2: Convert to fraction form
    475,761/695,778 = 695,778/x
  3. Step 3: Cross multiply
    475,761x = 695,778 × 695,778
  4. Step 4: Simplify right side
    475,761x = 484,107,025,284
  5. Step 5: Solve for x
    x = 484,107,025,284/475,761
  6. Step 6: Final answer
    x = 1,017,542.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.