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Finding the Third Proportional to 553,231 and 854,411

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Solution

The third proportional to 553,231 and 854,411 is: 1,319,553.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,231 : 854,411 = 854,411 : x
  2. Step 2: Convert to fraction form
    553,231/854,411 = 854,411/x
  3. Step 3: Cross multiply
    553,231x = 854,411 × 854,411
  4. Step 4: Simplify right side
    553,231x = 730,018,156,921
  5. Step 5: Solve for x
    x = 730,018,156,921/553,231
  6. Step 6: Final answer
    x = 1,319,553.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.