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Finding the Third Proportional to 234,710 and 506,831

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Solution

The third proportional to 234,710 and 506,831 is: 1,094,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,710 : 506,831 = 506,831 : x
  2. Step 2: Convert to fraction form
    234,710/506,831 = 506,831/x
  3. Step 3: Cross multiply
    234,710x = 506,831 × 506,831
  4. Step 4: Simplify right side
    234,710x = 256,877,662,561
  5. Step 5: Solve for x
    x = 256,877,662,561/234,710
  6. Step 6: Final answer
    x = 1,094,447.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.