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Finding the Third Proportional to 475,788 and 695,814

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Solution

The third proportional to 475,788 and 695,814 is: 1,017,590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,788 : 695,814 = 695,814 : x
  2. Step 2: Convert to fraction form
    475,788/695,814 = 695,814/x
  3. Step 3: Cross multiply
    475,788x = 695,814 × 695,814
  4. Step 4: Simplify right side
    475,788x = 484,157,122,596
  5. Step 5: Solve for x
    x = 484,157,122,596/475,788
  6. Step 6: Final answer
    x = 1,017,590.02

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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.