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Finding the Third Proportional to 572,283.47 and 885,724.78

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Solution

The third proportional to 572,283.47 and 885,724.78 is: 1,370,838.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,283.47 : 885,724.78 = 885,724.78 : x
  2. Step 2: Convert to fraction form
    572,283.47/885,724.78 = 885,724.78/x
  3. Step 3: Cross multiply
    572,283.47x = 885,724.78 × 885,724.78
  4. Step 4: Simplify right side
    572,283.47x = 784,508,388,120.36
  5. Step 5: Solve for x
    x = 784,508,388,120.36/572,283.47
  6. Step 6: Final answer
    x = 1,370,838.81

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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.