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Finding the Third Proportional to 217,328.06 and 458,254.13

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Solution

The third proportional to 217,328.06 and 458,254.13 is: 966,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,328.06 : 458,254.13 = 458,254.13 : x
  2. Step 2: Convert to fraction form
    217,328.06/458,254.13 = 458,254.13/x
  3. Step 3: Cross multiply
    217,328.06x = 458,254.13 × 458,254.13
  4. Step 4: Simplify right side
    217,328.06x = 209,996,843,079.52
  5. Step 5: Solve for x
    x = 209,996,843,079.52/217,328.06
  6. Step 6: Final answer
    x = 966,266.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.