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Finding the Third Proportional to 475,790 and 695,817

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Solution

The third proportional to 475,790 and 695,817 is: 1,017,594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,790 : 695,817 = 695,817 : x
  2. Step 2: Convert to fraction form
    475,790/695,817 = 695,817/x
  3. Step 3: Cross multiply
    475,790x = 695,817 × 695,817
  4. Step 4: Simplify right side
    475,790x = 484,161,297,489
  5. Step 5: Solve for x
    x = 484,161,297,489/475,790
  6. Step 6: Final answer
    x = 1,017,594.52

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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.