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Finding the Third Proportional to 261,009.38 and 569,957.25

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Solution

The third proportional to 261,009.38 and 569,957.25 is: 1,244,596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,009.38 : 569,957.25 = 569,957.25 : x
  2. Step 2: Convert to fraction form
    261,009.38/569,957.25 = 569,957.25/x
  3. Step 3: Cross multiply
    261,009.38x = 569,957.25 × 569,957.25
  4. Step 4: Simplify right side
    261,009.38x = 324,851,266,827.56
  5. Step 5: Solve for x
    x = 324,851,266,827.56/261,009.38
  6. Step 6: Final answer
    x = 1,244,596.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.