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Finding the Third Proportional to 563,296.78 and 1,165,959.56

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Solution

The third proportional to 563,296.78 and 1,165,959.56 is: 2,413,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,296.78 : 1,165,959.56 = 1,165,959.56 : x
  2. Step 2: Convert to fraction form
    563,296.78/1,165,959.56 = 1,165,959.56/x
  3. Step 3: Cross multiply
    563,296.78x = 1,165,959.56 × 1,165,959.56
  4. Step 4: Simplify right side
    563,296.78x = 1,359,461,701,385.19
  5. Step 5: Solve for x
    x = 1,359,461,701,385.19/563,296.78
  6. Step 6: Final answer
    x = 2,413,402.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.