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Finding the Third Proportional to 410,096 and 551,808

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Solution

The third proportional to 410,096 and 551,808 is: 742,489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,096 : 551,808 = 551,808 : x
  2. Step 2: Convert to fraction form
    410,096/551,808 = 551,808/x
  3. Step 3: Cross multiply
    410,096x = 551,808 × 551,808
  4. Step 4: Simplify right side
    410,096x = 304,492,068,864
  5. Step 5: Solve for x
    x = 304,492,068,864/410,096
  6. Step 6: Final answer
    x = 742,489.73

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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.