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Finding the Third Proportional to 475,834 and 695,883

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Solution

The third proportional to 475,834 and 695,883 is: 1,017,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,834 : 695,883 = 695,883 : x
  2. Step 2: Convert to fraction form
    475,834/695,883 = 695,883/x
  3. Step 3: Cross multiply
    475,834x = 695,883 × 695,883
  4. Step 4: Simplify right side
    475,834x = 484,253,149,689
  5. Step 5: Solve for x
    x = 484,253,149,689/475,834
  6. Step 6: Final answer
    x = 1,017,693.46

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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.