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Finding the Third Proportional to 576,229.50 and 830,020.50

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Solution

The third proportional to 576,229.50 and 830,020.50 is: 1,195,589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,229.50 : 830,020.50 = 830,020.50 : x
  2. Step 2: Convert to fraction form
    576,229.50/830,020.50 = 830,020.50/x
  3. Step 3: Cross multiply
    576,229.50x = 830,020.50 × 830,020.50
  4. Step 4: Simplify right side
    576,229.50x = 688,934,030,420.25
  5. Step 5: Solve for x
    x = 688,934,030,420.25/576,229.50
  6. Step 6: Final answer
    x = 1,195,589.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.