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Finding the Third Proportional to 381,024 and 829,776

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Solution

The third proportional to 381,024 and 829,776 is: 1,807,046.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,024 : 829,776 = 829,776 : x
  2. Step 2: Convert to fraction form
    381,024/829,776 = 829,776/x
  3. Step 3: Cross multiply
    381,024x = 829,776 × 829,776
  4. Step 4: Simplify right side
    381,024x = 688,528,210,176
  5. Step 5: Solve for x
    x = 688,528,210,176/381,024
  6. Step 6: Final answer
    x = 1,807,046.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.