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Finding the Third Proportional to 605,721.38 and 950,330.81

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Solution

The third proportional to 605,721.38 and 950,330.81 is: 1,490,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,721.38 : 950,330.81 = 950,330.81 : x
  2. Step 2: Convert to fraction form
    605,721.38/950,330.81 = 950,330.81/x
  3. Step 3: Cross multiply
    605,721.38x = 950,330.81 × 950,330.81
  4. Step 4: Simplify right side
    605,721.38x = 903,128,653,186.91
  5. Step 5: Solve for x
    x = 903,128,653,186.91/605,721.38
  6. Step 6: Final answer
    x = 1,490,996.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.