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Finding the Third Proportional to 295,366.50 and 647,929.13

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Solution

The third proportional to 295,366.50 and 647,929.13 is: 1,421,326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,366.50 : 647,929.13 = 647,929.13 : x
  2. Step 2: Convert to fraction form
    295,366.50/647,929.13 = 647,929.13/x
  3. Step 3: Cross multiply
    295,366.50x = 647,929.13 × 647,929.13
  4. Step 4: Simplify right side
    295,366.50x = 419,812,151,023.27
  5. Step 5: Solve for x
    x = 419,812,151,023.27/295,366.50
  6. Step 6: Final answer
    x = 1,421,326.22

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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.