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Finding the Third Proportional to 230,528 and 500,432

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Solution

The third proportional to 230,528 and 500,432 is: 1,086,341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,528 : 500,432 = 500,432 : x
  2. Step 2: Convert to fraction form
    230,528/500,432 = 500,432/x
  3. Step 3: Cross multiply
    230,528x = 500,432 × 500,432
  4. Step 4: Simplify right side
    230,528x = 250,432,186,624
  5. Step 5: Solve for x
    x = 250,432,186,624/230,528
  6. Step 6: Final answer
    x = 1,086,341.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.