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Finding the Third Proportional to 200,592 and 432,531

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Solution

The third proportional to 200,592 and 432,531 is: 932,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,592 : 432,531 = 432,531 : x
  2. Step 2: Convert to fraction form
    200,592/432,531 = 432,531/x
  3. Step 3: Cross multiply
    200,592x = 432,531 × 432,531
  4. Step 4: Simplify right side
    200,592x = 187,083,065,961
  5. Step 5: Solve for x
    x = 187,083,065,961/200,592
  6. Step 6: Final answer
    x = 932,654.67

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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.