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Finding the Third Proportional to 330,961.50 and 714,397.50

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Solution

The third proportional to 330,961.50 and 714,397.50 is: 1,542,063.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,961.50 : 714,397.50 = 714,397.50 : x
  2. Step 2: Convert to fraction form
    330,961.50/714,397.50 = 714,397.50/x
  3. Step 3: Cross multiply
    330,961.50x = 714,397.50 × 714,397.50
  4. Step 4: Simplify right side
    330,961.50x = 510,363,788,006.25
  5. Step 5: Solve for x
    x = 510,363,788,006.25/330,961.50
  6. Step 6: Final answer
    x = 1,542,063.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.