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Finding the Third Proportional to 410,152 and 551,868

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Solution

The third proportional to 410,152 and 551,868 is: 742,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,152 : 551,868 = 551,868 : x
  2. Step 2: Convert to fraction form
    410,152/551,868 = 551,868/x
  3. Step 3: Cross multiply
    410,152x = 551,868 × 551,868
  4. Step 4: Simplify right side
    410,152x = 304,558,289,424
  5. Step 5: Solve for x
    x = 304,558,289,424/410,152
  6. Step 6: Final answer
    x = 742,549.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.