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Finding the Third Proportional to 253,370 and 547,342

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Solution

The third proportional to 253,370 and 547,342 is: 1,182,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,370 : 547,342 = 547,342 : x
  2. Step 2: Convert to fraction form
    253,370/547,342 = 547,342/x
  3. Step 3: Cross multiply
    253,370x = 547,342 × 547,342
  4. Step 4: Simplify right side
    253,370x = 299,583,264,964
  5. Step 5: Solve for x
    x = 299,583,264,964/253,370
  6. Step 6: Final answer
    x = 1,182,394.38

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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.