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Finding the Third Proportional to 261,308.75 and 572,440.75

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Solution

The third proportional to 261,308.75 and 572,440.75 is: 1,254,027.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,308.75 : 572,440.75 = 572,440.75 : x
  2. Step 2: Convert to fraction form
    261,308.75/572,440.75 = 572,440.75/x
  3. Step 3: Cross multiply
    261,308.75x = 572,440.75 × 572,440.75
  4. Step 4: Simplify right side
    261,308.75x = 327,688,412,260.56
  5. Step 5: Solve for x
    x = 327,688,412,260.56/261,308.75
  6. Step 6: Final answer
    x = 1,254,027.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.