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Finding the Third Proportional to 479,163 and 742,963.50

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Solution

The third proportional to 479,163 and 742,963.50 is: 1,151,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,163 : 742,963.50 = 742,963.50 : x
  2. Step 2: Convert to fraction form
    479,163/742,963.50 = 742,963.50/x
  3. Step 3: Cross multiply
    479,163x = 742,963.50 × 742,963.50
  4. Step 4: Simplify right side
    479,163x = 551,994,762,332.25
  5. Step 5: Solve for x
    x = 551,994,762,332.25/479,163
  6. Step 6: Final answer
    x = 1,151,997.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.