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Finding the Third Proportional to 323,988 and 456,044

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Solution

The third proportional to 323,988 and 456,044 is: 641,925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,988 : 456,044 = 456,044 : x
  2. Step 2: Convert to fraction form
    323,988/456,044 = 456,044/x
  3. Step 3: Cross multiply
    323,988x = 456,044 × 456,044
  4. Step 4: Simplify right side
    323,988x = 207,976,129,936
  5. Step 5: Solve for x
    x = 207,976,129,936/323,988
  6. Step 6: Final answer
    x = 641,925.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.