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Finding the Third Proportional to 252,448 and 540,358

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Solution

The third proportional to 252,448 and 540,358 is: 1,156,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,448 : 540,358 = 540,358 : x
  2. Step 2: Convert to fraction form
    252,448/540,358 = 540,358/x
  3. Step 3: Cross multiply
    252,448x = 540,358 × 540,358
  4. Step 4: Simplify right side
    252,448x = 291,986,768,164
  5. Step 5: Solve for x
    x = 291,986,768,164/252,448
  6. Step 6: Final answer
    x = 1,156,621.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.