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Finding the Third Proportional to 412,814 and 581,332

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Solution

The third proportional to 412,814 and 581,332 is: 818,642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,814 : 581,332 = 581,332 : x
  2. Step 2: Convert to fraction form
    412,814/581,332 = 581,332/x
  3. Step 3: Cross multiply
    412,814x = 581,332 × 581,332
  4. Step 4: Simplify right side
    412,814x = 337,946,894,224
  5. Step 5: Solve for x
    x = 337,946,894,224/412,814
  6. Step 6: Final answer
    x = 818,642.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.