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Finding the Third Proportional to 545,784.75 and 829,693.13

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Solution

The third proportional to 545,784.75 and 829,693.13 is: 1,261,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,784.75 : 829,693.13 = 829,693.13 : x
  2. Step 2: Convert to fraction form
    545,784.75/829,693.13 = 829,693.13/x
  3. Step 3: Cross multiply
    545,784.75x = 829,693.13 × 829,693.13
  4. Step 4: Simplify right side
    545,784.75x = 688,390,681,672.27
  5. Step 5: Solve for x
    x = 688,390,681,672.27/545,784.75
  6. Step 6: Final answer
    x = 1,261,286.03

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.