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Finding the Third Proportional to 475,794 and 695,829

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Solution

The third proportional to 475,794 and 695,829 is: 1,017,621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,794 : 695,829 = 695,829 : x
  2. Step 2: Convert to fraction form
    475,794/695,829 = 695,829/x
  3. Step 3: Cross multiply
    475,794x = 695,829 × 695,829
  4. Step 4: Simplify right side
    475,794x = 484,177,997,241
  5. Step 5: Solve for x
    x = 484,177,997,241/475,794
  6. Step 6: Final answer
    x = 1,017,621.07

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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.