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Finding the Third Proportional to 541,307.25 and 756,783.88

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Solution

The third proportional to 541,307.25 and 756,783.88 is: 1,058,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,307.25 : 756,783.88 = 756,783.88 : x
  2. Step 2: Convert to fraction form
    541,307.25/756,783.88 = 756,783.88/x
  3. Step 3: Cross multiply
    541,307.25x = 756,783.88 × 756,783.88
  4. Step 4: Simplify right side
    541,307.25x = 572,721,833,460.02
  5. Step 5: Solve for x
    x = 572,721,833,460.02/541,307.25
  6. Step 6: Final answer
    x = 1,058,034.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.