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Finding the Third Proportional to 590,905.13 and 916,732.69

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Solution

The third proportional to 590,905.13 and 916,732.69 is: 1,422,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,905.13 : 916,732.69 = 916,732.69 : x
  2. Step 2: Convert to fraction form
    590,905.13/916,732.69 = 916,732.69/x
  3. Step 3: Cross multiply
    590,905.13x = 916,732.69 × 916,732.69
  4. Step 4: Simplify right side
    590,905.13x = 840,398,820,330.97
  5. Step 5: Solve for x
    x = 840,398,820,330.97/590,905.13
  6. Step 6: Final answer
    x = 1,422,222.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.