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Finding the Third Proportional to 526,515.19 and 782,029.69

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Solution

The third proportional to 526,515.19 and 782,029.69 is: 1,161,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,515.19 : 782,029.69 = 782,029.69 : x
  2. Step 2: Convert to fraction form
    526,515.19/782,029.69 = 782,029.69/x
  3. Step 3: Cross multiply
    526,515.19x = 782,029.69 × 782,029.69
  4. Step 4: Simplify right side
    526,515.19x = 611,570,432,131.35
  5. Step 5: Solve for x
    x = 611,570,432,131.35/526,515.19
  6. Step 6: Final answer
    x = 1,161,543.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.