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Finding the Third Proportional to 508,226 and 748,257

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Solution

The third proportional to 508,226 and 748,257 is: 1,101,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,226 : 748,257 = 748,257 : x
  2. Step 2: Convert to fraction form
    508,226/748,257 = 748,257/x
  3. Step 3: Cross multiply
    508,226x = 748,257 × 748,257
  4. Step 4: Simplify right side
    508,226x = 559,888,538,049
  5. Step 5: Solve for x
    x = 559,888,538,049/508,226
  6. Step 6: Final answer
    x = 1,101,652.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.