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Finding the Third Proportional to 369,225 and 527,998.50

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Solution

The third proportional to 369,225 and 527,998.50 is: 755,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,225 : 527,998.50 = 527,998.50 : x
  2. Step 2: Convert to fraction form
    369,225/527,998.50 = 527,998.50/x
  3. Step 3: Cross multiply
    369,225x = 527,998.50 × 527,998.50
  4. Step 4: Simplify right side
    369,225x = 278,782,416,002.25
  5. Step 5: Solve for x
    x = 278,782,416,002.25/369,225
  6. Step 6: Final answer
    x = 755,047.51

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.