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Finding the Third Proportional to 253,832 and 564,400

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Solution

The third proportional to 253,832 and 564,400 is: 1,254,953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,832 : 564,400 = 564,400 : x
  2. Step 2: Convert to fraction form
    253,832/564,400 = 564,400/x
  3. Step 3: Cross multiply
    253,832x = 564,400 × 564,400
  4. Step 4: Simplify right side
    253,832x = 318,547,360,000
  5. Step 5: Solve for x
    x = 318,547,360,000/253,832
  6. Step 6: Final answer
    x = 1,254,953.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.