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Finding the Third Proportional to 506,618.50 and 790,600

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Solution

The third proportional to 506,618.50 and 790,600 is: 1,233,765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,618.50 : 790,600 = 790,600 : x
  2. Step 2: Convert to fraction form
    506,618.50/790,600 = 790,600/x
  3. Step 3: Cross multiply
    506,618.50x = 790,600 × 790,600
  4. Step 4: Simplify right side
    506,618.50x = 625,048,360,000
  5. Step 5: Solve for x
    x = 625,048,360,000/506,618.50
  6. Step 6: Final answer
    x = 1,233,765.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.