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Finding the Third Proportional to 383,517 and 830,511

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Solution

The third proportional to 383,517 and 830,511 is: 1,798,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,517 : 830,511 = 830,511 : x
  2. Step 2: Convert to fraction form
    383,517/830,511 = 830,511/x
  3. Step 3: Cross multiply
    383,517x = 830,511 × 830,511
  4. Step 4: Simplify right side
    383,517x = 689,748,521,121
  5. Step 5: Solve for x
    x = 689,748,521,121/383,517
  6. Step 6: Final answer
    x = 1,798,482.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.