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Finding the Third Proportional to 243,028 and 523,310

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Solution

The third proportional to 243,028 and 523,310 is: 1,126,838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,028 : 523,310 = 523,310 : x
  2. Step 2: Convert to fraction form
    243,028/523,310 = 523,310/x
  3. Step 3: Cross multiply
    243,028x = 523,310 × 523,310
  4. Step 4: Simplify right side
    243,028x = 273,853,356,100
  5. Step 5: Solve for x
    x = 273,853,356,100/243,028
  6. Step 6: Final answer
    x = 1,126,838.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.