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Finding the Third Proportional to 370,827.75 and 794,143.50

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Solution

The third proportional to 370,827.75 and 794,143.50 is: 1,700,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,827.75 : 794,143.50 = 794,143.50 : x
  2. Step 2: Convert to fraction form
    370,827.75/794,143.50 = 794,143.50/x
  3. Step 3: Cross multiply
    370,827.75x = 794,143.50 × 794,143.50
  4. Step 4: Simplify right side
    370,827.75x = 630,663,898,592.25
  5. Step 5: Solve for x
    x = 630,663,898,592.25/370,827.75
  6. Step 6: Final answer
    x = 1,700,692.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.