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Finding the Third Proportional to 343,019.81 and 502,227.84

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Solution

The third proportional to 343,019.81 and 502,227.84 is: 735,330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,019.81 : 502,227.84 = 502,227.84 : x
  2. Step 2: Convert to fraction form
    343,019.81/502,227.84 = 502,227.84/x
  3. Step 3: Cross multiply
    343,019.81x = 502,227.84 × 502,227.84
  4. Step 4: Simplify right side
    343,019.81x = 252,232,807,037.77
  5. Step 5: Solve for x
    x = 252,232,807,037.77/343,019.81
  6. Step 6: Final answer
    x = 735,330.14

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.