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Finding the Third Proportional to 352,823 and 532,521

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Solution

The third proportional to 352,823 and 532,521 is: 803,741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,823 : 532,521 = 532,521 : x
  2. Step 2: Convert to fraction form
    352,823/532,521 = 532,521/x
  3. Step 3: Cross multiply
    352,823x = 532,521 × 532,521
  4. Step 4: Simplify right side
    352,823x = 283,578,615,441
  5. Step 5: Solve for x
    x = 283,578,615,441/352,823
  6. Step 6: Final answer
    x = 803,741.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.