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Finding the Third Proportional to 547,893 and 802,885.50

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Solution

The third proportional to 547,893 and 802,885.50 is: 1,176,552.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,893 : 802,885.50 = 802,885.50 : x
  2. Step 2: Convert to fraction form
    547,893/802,885.50 = 802,885.50/x
  3. Step 3: Cross multiply
    547,893x = 802,885.50 × 802,885.50
  4. Step 4: Simplify right side
    547,893x = 644,625,126,110.25
  5. Step 5: Solve for x
    x = 644,625,126,110.25/547,893
  6. Step 6: Final answer
    x = 1,176,552.95

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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.