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Finding the Third Proportional to 295,873.50 and 647,104.13

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Solution

The third proportional to 295,873.50 and 647,104.13 is: 1,415,279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,873.50 : 647,104.13 = 647,104.13 : x
  2. Step 2: Convert to fraction form
    295,873.50/647,104.13 = 647,104.13/x
  3. Step 3: Cross multiply
    295,873.50x = 647,104.13 × 647,104.13
  4. Step 4: Simplify right side
    295,873.50x = 418,743,748,592.02
  5. Step 5: Solve for x
    x = 418,743,748,592.02/295,873.50
  6. Step 6: Final answer
    x = 1,415,279.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.