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Finding the Third Proportional to 553,200 and 854,364

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Solution

The third proportional to 553,200 and 854,364 is: 1,319,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,200 : 854,364 = 854,364 : x
  2. Step 2: Convert to fraction form
    553,200/854,364 = 854,364/x
  3. Step 3: Cross multiply
    553,200x = 854,364 × 854,364
  4. Step 4: Simplify right side
    553,200x = 729,937,844,496
  5. Step 5: Solve for x
    x = 729,937,844,496/553,200
  6. Step 6: Final answer
    x = 1,319,482.73

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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.