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Finding the Third Proportional to 350,801.63 and 564,961.13

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Solution

The third proportional to 350,801.63 and 564,961.13 is: 909,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,801.63 : 564,961.13 = 564,961.13 : x
  2. Step 2: Convert to fraction form
    350,801.63/564,961.13 = 564,961.13/x
  3. Step 3: Cross multiply
    350,801.63x = 564,961.13 × 564,961.13
  4. Step 4: Simplify right side
    350,801.63x = 319,181,072,761.27
  5. Step 5: Solve for x
    x = 319,181,072,761.27/350,801.63
  6. Step 6: Final answer
    x = 909,862.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.