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Finding the Third Proportional to 414,315 and 639,788.63

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Solution

The third proportional to 414,315 and 639,788.63 is: 987,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,315 : 639,788.63 = 639,788.63 : x
  2. Step 2: Convert to fraction form
    414,315/639,788.63 = 639,788.63/x
  3. Step 3: Cross multiply
    414,315x = 639,788.63 × 639,788.63
  4. Step 4: Simplify right side
    414,315x = 409,329,484,679.39
  5. Step 5: Solve for x
    x = 409,329,484,679.39/414,315
  6. Step 6: Final answer
    x = 987,966.85

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.