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Finding the Third Proportional to 420,231 and 630,776.50

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Solution

The third proportional to 420,231 and 630,776.50 is: 946,810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,231 : 630,776.50 = 630,776.50 : x
  2. Step 2: Convert to fraction form
    420,231/630,776.50 = 630,776.50/x
  3. Step 3: Cross multiply
    420,231x = 630,776.50 × 630,776.50
  4. Step 4: Simplify right side
    420,231x = 397,878,992,952.25
  5. Step 5: Solve for x
    x = 397,878,992,952.25/420,231
  6. Step 6: Final answer
    x = 946,810.19

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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.