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Finding the Third Proportional to 389,468.25 and 924,463.13

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Solution

The third proportional to 389,468.25 and 924,463.13 is: 2,194,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,468.25 : 924,463.13 = 924,463.13 : x
  2. Step 2: Convert to fraction form
    389,468.25/924,463.13 = 924,463.13/x
  3. Step 3: Cross multiply
    389,468.25x = 924,463.13 × 924,463.13
  4. Step 4: Simplify right side
    389,468.25x = 854,632,069,484.77
  5. Step 5: Solve for x
    x = 854,632,069,484.77/389,468.25
  6. Step 6: Final answer
    x = 2,194,356.20

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.