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Finding the Third Proportional to 553,178 and 854,334

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Solution

The third proportional to 553,178 and 854,334 is: 1,319,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,178 : 854,334 = 854,334 : x
  2. Step 2: Convert to fraction form
    553,178/854,334 = 854,334/x
  3. Step 3: Cross multiply
    553,178x = 854,334 × 854,334
  4. Step 4: Simplify right side
    553,178x = 729,886,583,556
  5. Step 5: Solve for x
    x = 729,886,583,556/553,178
  6. Step 6: Final answer
    x = 1,319,442.54

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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.