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Finding the Third Proportional to 253,877 and 540,358

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Solution

The third proportional to 253,877 and 540,358 is: 1,150,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,877 : 540,358 = 540,358 : x
  2. Step 2: Convert to fraction form
    253,877/540,358 = 540,358/x
  3. Step 3: Cross multiply
    253,877x = 540,358 × 540,358
  4. Step 4: Simplify right side
    253,877x = 291,986,768,164
  5. Step 5: Solve for x
    x = 291,986,768,164/253,877
  6. Step 6: Final answer
    x = 1,150,111.15

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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.