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Finding the Third Proportional to 500,019.19 and 794,314.69

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Solution

The third proportional to 500,019.19 and 794,314.69 is: 1,261,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,019.19 : 794,314.69 = 794,314.69 : x
  2. Step 2: Convert to fraction form
    500,019.19/794,314.69 = 794,314.69/x
  3. Step 3: Cross multiply
    500,019.19x = 794,314.69 × 794,314.69
  4. Step 4: Simplify right side
    500,019.19x = 630,935,822,778.22
  5. Step 5: Solve for x
    x = 630,935,822,778.22/500,019.19
  6. Step 6: Final answer
    x = 1,261,823.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.