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Finding the Third Proportional to 200,882 and 432,514

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Solution

The third proportional to 200,882 and 432,514 is: 931,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,882 : 432,514 = 432,514 : x
  2. Step 2: Convert to fraction form
    200,882/432,514 = 432,514/x
  3. Step 3: Cross multiply
    200,882x = 432,514 × 432,514
  4. Step 4: Simplify right side
    200,882x = 187,068,360,196
  5. Step 5: Solve for x
    x = 187,068,360,196/200,882
  6. Step 6: Final answer
    x = 931,235.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.