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Finding the Third Proportional to 293,316.19 and 418,645.13

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Solution

The third proportional to 293,316.19 and 418,645.13 is: 597,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,316.19 : 418,645.13 = 418,645.13 : x
  2. Step 2: Convert to fraction form
    293,316.19/418,645.13 = 418,645.13/x
  3. Step 3: Cross multiply
    293,316.19x = 418,645.13 × 418,645.13
  4. Step 4: Simplify right side
    293,316.19x = 175,263,740,686.27
  5. Step 5: Solve for x
    x = 175,263,740,686.27/293,316.19
  6. Step 6: Final answer
    x = 597,524.95

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.