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Finding the Third Proportional to 520,001 and 783,690.50

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Solution

The third proportional to 520,001 and 783,690.50 is: 1,181,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,001 : 783,690.50 = 783,690.50 : x
  2. Step 2: Convert to fraction form
    520,001/783,690.50 = 783,690.50/x
  3. Step 3: Cross multiply
    520,001x = 783,690.50 × 783,690.50
  4. Step 4: Simplify right side
    520,001x = 614,170,799,790.25
  5. Step 5: Solve for x
    x = 614,170,799,790.25/520,001
  6. Step 6: Final answer
    x = 1,181,095.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.