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Finding the Third Proportional to 357,201.50 and 544,176.50

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Solution

The third proportional to 357,201.50 and 544,176.50 is: 829,022.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,201.50 : 544,176.50 = 544,176.50 : x
  2. Step 2: Convert to fraction form
    357,201.50/544,176.50 = 544,176.50/x
  3. Step 3: Cross multiply
    357,201.50x = 544,176.50 × 544,176.50
  4. Step 4: Simplify right side
    357,201.50x = 296,128,063,152.25
  5. Step 5: Solve for x
    x = 296,128,063,152.25/357,201.50
  6. Step 6: Final answer
    x = 829,022.45

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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.