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Finding the Third Proportional to 415,236 and 650,522

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Solution

The third proportional to 415,236 and 650,522 is: 1,019,128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,236 : 650,522 = 650,522 : x
  2. Step 2: Convert to fraction form
    415,236/650,522 = 650,522/x
  3. Step 3: Cross multiply
    415,236x = 650,522 × 650,522
  4. Step 4: Simplify right side
    415,236x = 423,178,872,484
  5. Step 5: Solve for x
    x = 423,178,872,484/415,236
  6. Step 6: Final answer
    x = 1,019,128.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.