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Finding the Third Proportional to 332,028 and 510,124.50

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Solution

The third proportional to 332,028 and 510,124.50 is: 783,750.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,028 : 510,124.50 = 510,124.50 : x
  2. Step 2: Convert to fraction form
    332,028/510,124.50 = 510,124.50/x
  3. Step 3: Cross multiply
    332,028x = 510,124.50 × 510,124.50
  4. Step 4: Simplify right side
    332,028x = 260,227,005,500.25
  5. Step 5: Solve for x
    x = 260,227,005,500.25/332,028
  6. Step 6: Final answer
    x = 783,750.18

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.