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Finding the Third Proportional to 420,484.13 and 630,596.63

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Solution

The third proportional to 420,484.13 and 630,596.63 is: 945,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,484.13 : 630,596.63 = 630,596.63 : x
  2. Step 2: Convert to fraction form
    420,484.13/630,596.63 = 630,596.63/x
  3. Step 3: Cross multiply
    420,484.13x = 630,596.63 × 630,596.63
  4. Step 4: Simplify right side
    420,484.13x = 397,652,103,461.39
  5. Step 5: Solve for x
    x = 397,652,103,461.39/420,484.13
  6. Step 6: Final answer
    x = 945,700.63

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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.