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Finding the Third Proportional to 357,202.50 and 544,178.25

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Solution

The third proportional to 357,202.50 and 544,178.25 is: 829,025.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,202.50 : 544,178.25 = 544,178.25 : x
  2. Step 2: Convert to fraction form
    357,202.50/544,178.25 = 544,178.25/x
  3. Step 3: Cross multiply
    357,202.50x = 544,178.25 × 544,178.25
  4. Step 4: Simplify right side
    357,202.50x = 296,129,967,773.06
  5. Step 5: Solve for x
    x = 296,129,967,773.06/357,202.50
  6. Step 6: Final answer
    x = 829,025.46

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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.