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Finding the Third Proportional to 215,526.38 and 468,359.63

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Solution

The third proportional to 215,526.38 and 468,359.63 is: 1,017,790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,526.38 : 468,359.63 = 468,359.63 : x
  2. Step 2: Convert to fraction form
    215,526.38/468,359.63 = 468,359.63/x
  3. Step 3: Cross multiply
    215,526.38x = 468,359.63 × 468,359.63
  4. Step 4: Simplify right side
    215,526.38x = 219,360,738,330.14
  5. Step 5: Solve for x
    x = 219,360,738,330.14/215,526.38
  6. Step 6: Final answer
    x = 1,017,790.69

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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.