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Finding the Third Proportional to 383,574 and 807,586

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Solution

The third proportional to 383,574 and 807,586 is: 1,700,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,574 : 807,586 = 807,586 : x
  2. Step 2: Convert to fraction form
    383,574/807,586 = 807,586/x
  3. Step 3: Cross multiply
    383,574x = 807,586 × 807,586
  4. Step 4: Simplify right side
    383,574x = 652,195,147,396
  5. Step 5: Solve for x
    x = 652,195,147,396/383,574
  6. Step 6: Final answer
    x = 1,700,311.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.