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Finding the Third Proportional to 261,009.94 and 569,958.38

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Solution

The third proportional to 261,009.94 and 569,958.38 is: 1,244,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,009.94 : 569,958.38 = 569,958.38 : x
  2. Step 2: Convert to fraction form
    261,009.94/569,958.38 = 569,958.38/x
  3. Step 3: Cross multiply
    261,009.94x = 569,958.38 × 569,958.38
  4. Step 4: Simplify right side
    261,009.94x = 324,852,549,232.64
  5. Step 5: Solve for x
    x = 324,852,549,232.64/261,009.94
  6. Step 6: Final answer
    x = 1,244,598.39

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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.