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Finding the Third Proportional to 236,899 and 506,358

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Solution

The third proportional to 236,899 and 506,358 is: 1,082,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,899 : 506,358 = 506,358 : x
  2. Step 2: Convert to fraction form
    236,899/506,358 = 506,358/x
  3. Step 3: Cross multiply
    236,899x = 506,358 × 506,358
  4. Step 4: Simplify right side
    236,899x = 256,398,424,164
  5. Step 5: Solve for x
    x = 256,398,424,164/236,899
  6. Step 6: Final answer
    x = 1,082,311.13

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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.