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Finding the Third Proportional to 551,664 and 843,534

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Solution

The third proportional to 551,664 and 843,534 is: 1,289,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,664 : 843,534 = 843,534 : x
  2. Step 2: Convert to fraction form
    551,664/843,534 = 843,534/x
  3. Step 3: Cross multiply
    551,664x = 843,534 × 843,534
  4. Step 4: Simplify right side
    551,664x = 711,549,609,156
  5. Step 5: Solve for x
    x = 711,549,609,156/551,664
  6. Step 6: Final answer
    x = 1,289,824.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.