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Finding the Third Proportional to 262,491.26 and 564,886.72

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Solution

The third proportional to 262,491.26 and 564,886.72 is: 1,215,648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,491.26 : 564,886.72 = 564,886.72 : x
  2. Step 2: Convert to fraction form
    262,491.26/564,886.72 = 564,886.72/x
  3. Step 3: Cross multiply
    262,491.26x = 564,886.72 × 564,886.72
  4. Step 4: Simplify right side
    262,491.26x = 319,097,009,433.32
  5. Step 5: Solve for x
    x = 319,097,009,433.32/262,491.26
  6. Step 6: Final answer
    x = 1,215,648.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.