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Finding the Third Proportional to 553,188 and 854,346

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Solution

The third proportional to 553,188 and 854,346 is: 1,319,455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,188 : 854,346 = 854,346 : x
  2. Step 2: Convert to fraction form
    553,188/854,346 = 854,346/x
  3. Step 3: Cross multiply
    553,188x = 854,346 × 854,346
  4. Step 4: Simplify right side
    553,188x = 729,907,087,716
  5. Step 5: Solve for x
    x = 729,907,087,716/553,188
  6. Step 6: Final answer
    x = 1,319,455.75

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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.