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Finding the Third Proportional to 554,402 and 843,267

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Solution

The third proportional to 554,402 and 843,267 is: 1,282,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,402 : 843,267 = 843,267 : x
  2. Step 2: Convert to fraction form
    554,402/843,267 = 843,267/x
  3. Step 3: Cross multiply
    554,402x = 843,267 × 843,267
  4. Step 4: Simplify right side
    554,402x = 711,099,233,289
  5. Step 5: Solve for x
    x = 711,099,233,289/554,402
  6. Step 6: Final answer
    x = 1,282,641.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.