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Finding the Third Proportional to 261,828.50 and 564,989.38

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Solution

The third proportional to 261,828.50 and 564,989.38 is: 1,219,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,828.50 : 564,989.38 = 564,989.38 : x
  2. Step 2: Convert to fraction form
    261,828.50/564,989.38 = 564,989.38/x
  3. Step 3: Cross multiply
    261,828.50x = 564,989.38 × 564,989.38
  4. Step 4: Simplify right side
    261,828.50x = 319,212,993,862.89
  5. Step 5: Solve for x
    x = 319,212,993,862.89/261,828.50
  6. Step 6: Final answer
    x = 1,219,168.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.