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Finding the Third Proportional to 506,401 and 783,863

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Solution

The third proportional to 506,401 and 783,863 is: 1,213,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,401 : 783,863 = 783,863 : x
  2. Step 2: Convert to fraction form
    506,401/783,863 = 783,863/x
  3. Step 3: Cross multiply
    506,401x = 783,863 × 783,863
  4. Step 4: Simplify right side
    506,401x = 614,441,202,769
  5. Step 5: Solve for x
    x = 614,441,202,769/506,401
  6. Step 6: Final answer
    x = 1,213,349.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.