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Finding the Third Proportional to 475,542 and 695,809

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Solution

The third proportional to 475,542 and 695,809 is: 1,018,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,542 : 695,809 = 695,809 : x
  2. Step 2: Convert to fraction form
    475,542/695,809 = 695,809/x
  3. Step 3: Cross multiply
    475,542x = 695,809 × 695,809
  4. Step 4: Simplify right side
    475,542x = 484,150,164,481
  5. Step 5: Solve for x
    x = 484,150,164,481/475,542
  6. Step 6: Final answer
    x = 1,018,101.80

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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.