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Finding the Third Proportional to 357,422.75 and 544,519.50

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Solution

The third proportional to 357,422.75 and 544,519.50 is: 829,554.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,422.75 : 544,519.50 = 544,519.50 : x
  2. Step 2: Convert to fraction form
    357,422.75/544,519.50 = 544,519.50/x
  3. Step 3: Cross multiply
    357,422.75x = 544,519.50 × 544,519.50
  4. Step 4: Simplify right side
    357,422.75x = 296,501,485,880.25
  5. Step 5: Solve for x
    x = 296,501,485,880.25/357,422.75
  6. Step 6: Final answer
    x = 829,554.04

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Why These Related Problems?

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