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Finding the Third Proportional to 330,381 and 724,050

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Solution

The third proportional to 330,381 and 724,050 is: 1,586,799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,381 : 724,050 = 724,050 : x
  2. Step 2: Convert to fraction form
    330,381/724,050 = 724,050/x
  3. Step 3: Cross multiply
    330,381x = 724,050 × 724,050
  4. Step 4: Simplify right side
    330,381x = 524,248,402,500
  5. Step 5: Solve for x
    x = 524,248,402,500/330,381
  6. Step 6: Final answer
    x = 1,586,799.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.