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Finding the Third Proportional to 500,038.50 and 794,344.50

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Solution

The third proportional to 500,038.50 and 794,344.50 is: 1,261,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,038.50 : 794,344.50 = 794,344.50 : x
  2. Step 2: Convert to fraction form
    500,038.50/794,344.50 = 794,344.50/x
  3. Step 3: Cross multiply
    500,038.50x = 794,344.50 × 794,344.50
  4. Step 4: Simplify right side
    500,038.50x = 630,983,184,680.25
  5. Step 5: Solve for x
    x = 630,983,184,680.25/500,038.50
  6. Step 6: Final answer
    x = 1,261,869.21

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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.