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Finding the Third Proportional to 253,804.13 and 564,342.63

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Solution

The third proportional to 253,804.13 and 564,342.63 is: 1,254,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,804.13 : 564,342.63 = 564,342.63 : x
  2. Step 2: Convert to fraction form
    253,804.13/564,342.63 = 564,342.63/x
  3. Step 3: Cross multiply
    253,804.13x = 564,342.63 × 564,342.63
  4. Step 4: Simplify right side
    253,804.13x = 318,482,598,391.89
  5. Step 5: Solve for x
    x = 318,482,598,391.89/253,804.13
  6. Step 6: Final answer
    x = 1,254,836.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.