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Finding the Third Proportional to 259,601.06 and 563,488.88

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Solution

The third proportional to 259,601.06 and 563,488.88 is: 1,223,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,601.06 : 563,488.88 = 563,488.88 : x
  2. Step 2: Convert to fraction form
    259,601.06/563,488.88 = 563,488.88/x
  3. Step 3: Cross multiply
    259,601.06x = 563,488.88 × 563,488.88
  4. Step 4: Simplify right side
    259,601.06x = 317,519,712,248.77
  5. Step 5: Solve for x
    x = 317,519,712,248.77/259,601.06
  6. Step 6: Final answer
    x = 1,223,106.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.