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Finding the Third Proportional to 610,724 and 803,100

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Solution

The third proportional to 610,724 and 803,100 is: 1,056,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,724 : 803,100 = 803,100 : x
  2. Step 2: Convert to fraction form
    610,724/803,100 = 803,100/x
  3. Step 3: Cross multiply
    610,724x = 803,100 × 803,100
  4. Step 4: Simplify right side
    610,724x = 644,969,610,000
  5. Step 5: Solve for x
    x = 644,969,610,000/610,724
  6. Step 6: Final answer
    x = 1,056,073.79

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.