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Finding the Third Proportional to 261,317.25 and 572,456.25

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Solution

The third proportional to 261,317.25 and 572,456.25 is: 1,254,054.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,317.25 : 572,456.25 = 572,456.25 : x
  2. Step 2: Convert to fraction form
    261,317.25/572,456.25 = 572,456.25/x
  3. Step 3: Cross multiply
    261,317.25x = 572,456.25 × 572,456.25
  4. Step 4: Simplify right side
    261,317.25x = 327,706,158,164.06
  5. Step 5: Solve for x
    x = 327,706,158,164.06/261,317.25
  6. Step 6: Final answer
    x = 1,254,054.82

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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.