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Finding the Third Proportional to 334,299.50 and 705,499

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Solution

The third proportional to 334,299.50 and 705,499 is: 1,488,871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,299.50 : 705,499 = 705,499 : x
  2. Step 2: Convert to fraction form
    334,299.50/705,499 = 705,499/x
  3. Step 3: Cross multiply
    334,299.50x = 705,499 × 705,499
  4. Step 4: Simplify right side
    334,299.50x = 497,728,839,001
  5. Step 5: Solve for x
    x = 497,728,839,001/334,299.50
  6. Step 6: Final answer
    x = 1,488,871.02

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.