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Finding the Third Proportional to 212,574.38 and 466,615.69

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Solution

The third proportional to 212,574.38 and 466,615.69 is: 1,024,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,574.38 : 466,615.69 = 466,615.69 : x
  2. Step 2: Convert to fraction form
    212,574.38/466,615.69 = 466,615.69/x
  3. Step 3: Cross multiply
    212,574.38x = 466,615.69 × 466,615.69
  4. Step 4: Simplify right side
    212,574.38x = 217,730,199,821.10
  5. Step 5: Solve for x
    x = 217,730,199,821.10/212,574.38
  6. Step 6: Final answer
    x = 1,024,254.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.