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Finding the Third Proportional to 248,358 and 536,404

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Solution

The third proportional to 248,358 and 536,404 is: 1,158,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,358 : 536,404 = 536,404 : x
  2. Step 2: Convert to fraction form
    248,358/536,404 = 536,404/x
  3. Step 3: Cross multiply
    248,358x = 536,404 × 536,404
  4. Step 4: Simplify right side
    248,358x = 287,729,251,216
  5. Step 5: Solve for x
    x = 287,729,251,216/248,358
  6. Step 6: Final answer
    x = 1,158,526.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.