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Finding the Third Proportional to 261,304.88 and 572,433.75

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Solution

The third proportional to 261,304.88 and 572,433.75 is: 1,254,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,304.88 : 572,433.75 = 572,433.75 : x
  2. Step 2: Convert to fraction form
    261,304.88/572,433.75 = 572,433.75/x
  3. Step 3: Cross multiply
    261,304.88x = 572,433.75 × 572,433.75
  4. Step 4: Simplify right side
    261,304.88x = 327,680,398,139.06
  5. Step 5: Solve for x
    x = 327,680,398,139.06/261,304.88
  6. Step 6: Final answer
    x = 1,254,015.63

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