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Finding the Third Proportional to 553,176 and 854,338

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Solution

The third proportional to 553,176 and 854,338 is: 1,319,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,176 : 854,338 = 854,338 : x
  2. Step 2: Convert to fraction form
    553,176/854,338 = 854,338/x
  3. Step 3: Cross multiply
    553,176x = 854,338 × 854,338
  4. Step 4: Simplify right side
    553,176x = 729,893,418,244
  5. Step 5: Solve for x
    x = 729,893,418,244/553,176
  6. Step 6: Final answer
    x = 1,319,459.66

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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.