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Finding the Third Proportional to 365,490.56 and 564,836.63

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Solution

The third proportional to 365,490.56 and 564,836.63 is: 872,910.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,490.56 : 564,836.63 = 564,836.63 : x
  2. Step 2: Convert to fraction form
    365,490.56/564,836.63 = 564,836.63/x
  3. Step 3: Cross multiply
    365,490.56x = 564,836.63 × 564,836.63
  4. Step 4: Simplify right side
    365,490.56x = 319,040,412,941.39
  5. Step 5: Solve for x
    x = 319,040,412,941.39/365,490.56
  6. Step 6: Final answer
    x = 872,910.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.