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Finding the Third Proportional to 351,712 and 544,942

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Solution

The third proportional to 351,712 and 544,942 is: 844,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,712 : 544,942 = 544,942 : x
  2. Step 2: Convert to fraction form
    351,712/544,942 = 544,942/x
  3. Step 3: Cross multiply
    351,712x = 544,942 × 544,942
  4. Step 4: Simplify right side
    351,712x = 296,961,783,364
  5. Step 5: Solve for x
    x = 296,961,783,364/351,712
  6. Step 6: Final answer
    x = 844,332.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.