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Finding the Third Proportional to 410,133.38 and 601,349.06

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Solution

The third proportional to 410,133.38 and 601,349.06 is: 881,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,133.38 : 601,349.06 = 601,349.06 : x
  2. Step 2: Convert to fraction form
    410,133.38/601,349.06 = 601,349.06/x
  3. Step 3: Cross multiply
    410,133.38x = 601,349.06 × 601,349.06
  4. Step 4: Simplify right side
    410,133.38x = 361,620,694,969.63
  5. Step 5: Solve for x
    x = 361,620,694,969.63/410,133.38
  6. Step 6: Final answer
    x = 881,714.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.