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Finding the Third Proportional to 247,958 and 508,984

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Solution

The third proportional to 247,958 and 508,984 is: 1,044,792.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,958 : 508,984 = 508,984 : x
  2. Step 2: Convert to fraction form
    247,958/508,984 = 508,984/x
  3. Step 3: Cross multiply
    247,958x = 508,984 × 508,984
  4. Step 4: Simplify right side
    247,958x = 259,064,712,256
  5. Step 5: Solve for x
    x = 259,064,712,256/247,958
  6. Step 6: Final answer
    x = 1,044,792.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.