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Finding the Third Proportional to 250,117 and 547,669

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Solution

The third proportional to 250,117 and 547,669 is: 1,199,204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,117 : 547,669 = 547,669 : x
  2. Step 2: Convert to fraction form
    250,117/547,669 = 547,669/x
  3. Step 3: Cross multiply
    250,117x = 547,669 × 547,669
  4. Step 4: Simplify right side
    250,117x = 299,941,333,561
  5. Step 5: Solve for x
    x = 299,941,333,561/250,117
  6. Step 6: Final answer
    x = 1,199,204.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.