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Finding the Third Proportional to 577,234 and 843,507

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Solution

The third proportional to 577,234 and 843,507 is: 1,232,609.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,234 : 843,507 = 843,507 : x
  2. Step 2: Convert to fraction form
    577,234/843,507 = 843,507/x
  3. Step 3: Cross multiply
    577,234x = 843,507 × 843,507
  4. Step 4: Simplify right side
    577,234x = 711,504,059,049
  5. Step 5: Solve for x
    x = 711,504,059,049/577,234
  6. Step 6: Final answer
    x = 1,232,609.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.