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Finding the Third Proportional to 254,298 and 542,364

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Solution

The third proportional to 254,298 and 542,364 is: 1,156,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,298 : 542,364 = 542,364 : x
  2. Step 2: Convert to fraction form
    254,298/542,364 = 542,364/x
  3. Step 3: Cross multiply
    254,298x = 542,364 × 542,364
  4. Step 4: Simplify right side
    254,298x = 294,158,708,496
  5. Step 5: Solve for x
    x = 294,158,708,496/254,298
  6. Step 6: Final answer
    x = 1,156,748.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.