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Finding the Third Proportional to 247,360 and 503,358

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Solution

The third proportional to 247,360 and 503,358 is: 1,024,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,360 : 503,358 = 503,358 : x
  2. Step 2: Convert to fraction form
    247,360/503,358 = 503,358/x
  3. Step 3: Cross multiply
    247,360x = 503,358 × 503,358
  4. Step 4: Simplify right side
    247,360x = 253,369,276,164
  5. Step 5: Solve for x
    x = 253,369,276,164/247,360
  6. Step 6: Final answer
    x = 1,024,293.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.