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Finding the Third Proportional to 329,569.50 and 708,819

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Solution

The third proportional to 329,569.50 and 708,819 is: 1,524,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,569.50 : 708,819 = 708,819 : x
  2. Step 2: Convert to fraction form
    329,569.50/708,819 = 708,819/x
  3. Step 3: Cross multiply
    329,569.50x = 708,819 × 708,819
  4. Step 4: Simplify right side
    329,569.50x = 502,424,374,761
  5. Step 5: Solve for x
    x = 502,424,374,761/329,569.50
  6. Step 6: Final answer
    x = 1,524,486.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.