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Finding the Third Proportional to 383,643 and 807,714

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Solution

The third proportional to 383,643 and 807,714 is: 1,700,544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,643 : 807,714 = 807,714 : x
  2. Step 2: Convert to fraction form
    383,643/807,714 = 807,714/x
  3. Step 3: Cross multiply
    383,643x = 807,714 × 807,714
  4. Step 4: Simplify right side
    383,643x = 652,401,905,796
  5. Step 5: Solve for x
    x = 652,401,905,796/383,643
  6. Step 6: Final answer
    x = 1,700,544.27

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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.