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Finding the Third Proportional to 357,763.50 and 794,259

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Solution

The third proportional to 357,763.50 and 794,259 is: 1,763,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,763.50 : 794,259 = 794,259 : x
  2. Step 2: Convert to fraction form
    357,763.50/794,259 = 794,259/x
  3. Step 3: Cross multiply
    357,763.50x = 794,259 × 794,259
  4. Step 4: Simplify right side
    357,763.50x = 630,847,359,081
  5. Step 5: Solve for x
    x = 630,847,359,081/357,763.50
  6. Step 6: Final answer
    x = 1,763,308.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.