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Finding the Third Proportional to 547,895 and 802,888

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Solution

The third proportional to 547,895 and 802,888 is: 1,176,555.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,895 : 802,888 = 802,888 : x
  2. Step 2: Convert to fraction form
    547,895/802,888 = 802,888/x
  3. Step 3: Cross multiply
    547,895x = 802,888 × 802,888
  4. Step 4: Simplify right side
    547,895x = 644,629,140,544
  5. Step 5: Solve for x
    x = 644,629,140,544/547,895
  6. Step 6: Final answer
    x = 1,176,555.98

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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.