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Finding the Third Proportional to 361,905 and 532,332

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Solution

The third proportional to 361,905 and 532,332 is: 783,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,905 : 532,332 = 532,332 : x
  2. Step 2: Convert to fraction form
    361,905/532,332 = 532,332/x
  3. Step 3: Cross multiply
    361,905x = 532,332 × 532,332
  4. Step 4: Simplify right side
    361,905x = 283,377,358,224
  5. Step 5: Solve for x
    x = 283,377,358,224/361,905
  6. Step 6: Final answer
    x = 783,015.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.