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Finding the Third Proportional to 585,096.75 and 928,378.13

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Solution

The third proportional to 585,096.75 and 928,378.13 is: 1,473,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,096.75 : 928,378.13 = 928,378.13 : x
  2. Step 2: Convert to fraction form
    585,096.75/928,378.13 = 928,378.13/x
  3. Step 3: Cross multiply
    585,096.75x = 928,378.13 × 928,378.13
  4. Step 4: Simplify right side
    585,096.75x = 861,885,942,978.52
  5. Step 5: Solve for x
    x = 861,885,942,978.52/585,096.75
  6. Step 6: Final answer
    x = 1,473,065.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.