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Finding the Third Proportional to 306,427 and 506,419

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Solution

The third proportional to 306,427 and 506,419 is: 836,937.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,427 : 506,419 = 506,419 : x
  2. Step 2: Convert to fraction form
    306,427/506,419 = 506,419/x
  3. Step 3: Cross multiply
    306,427x = 506,419 × 506,419
  4. Step 4: Simplify right side
    306,427x = 256,460,203,561
  5. Step 5: Solve for x
    x = 256,460,203,561/306,427
  6. Step 6: Final answer
    x = 836,937.36

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.