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Finding the Third Proportional to 200,484 and 432,309

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Solution

The third proportional to 200,484 and 432,309 is: 932,199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,484 : 432,309 = 432,309 : x
  2. Step 2: Convert to fraction form
    200,484/432,309 = 432,309/x
  3. Step 3: Cross multiply
    200,484x = 432,309 × 432,309
  4. Step 4: Simplify right side
    200,484x = 186,891,071,481
  5. Step 5: Solve for x
    x = 186,891,071,481/200,484
  6. Step 6: Final answer
    x = 932,199.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.