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Finding the Third Proportional to 420,579 and 630,713.81

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Solution

The third proportional to 420,579 and 630,713.81 is: 945,838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,579 : 630,713.81 = 630,713.81 : x
  2. Step 2: Convert to fraction form
    420,579/630,713.81 = 630,713.81/x
  3. Step 3: Cross multiply
    420,579x = 630,713.81 × 630,713.81
  4. Step 4: Simplify right side
    420,579x = 397,799,913,278.29
  5. Step 5: Solve for x
    x = 397,799,913,278.29/420,579
  6. Step 6: Final answer
    x = 945,838.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.