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Finding the Third Proportional to 383,572 and 807,582

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Solution

The third proportional to 383,572 and 807,582 is: 1,700,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,572 : 807,582 = 807,582 : x
  2. Step 2: Convert to fraction form
    383,572/807,582 = 807,582/x
  3. Step 3: Cross multiply
    383,572x = 807,582 × 807,582
  4. Step 4: Simplify right side
    383,572x = 652,188,686,724
  5. Step 5: Solve for x
    x = 652,188,686,724/383,572
  6. Step 6: Final answer
    x = 1,700,303.17

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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.