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Finding the Third Proportional to 517,233 and 802,746

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Solution

The third proportional to 517,233 and 802,746 is: 1,245,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,233 : 802,746 = 802,746 : x
  2. Step 2: Convert to fraction form
    517,233/802,746 = 802,746/x
  3. Step 3: Cross multiply
    517,233x = 802,746 × 802,746
  4. Step 4: Simplify right side
    517,233x = 644,401,140,516
  5. Step 5: Solve for x
    x = 644,401,140,516/517,233
  6. Step 6: Final answer
    x = 1,245,862.39

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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.