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Finding the Third Proportional to 511,855 and 802,877

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Solution

The third proportional to 511,855 and 802,877 is: 1,259,363.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,855 : 802,877 = 802,877 : x
  2. Step 2: Convert to fraction form
    511,855/802,877 = 802,877/x
  3. Step 3: Cross multiply
    511,855x = 802,877 × 802,877
  4. Step 4: Simplify right side
    511,855x = 644,611,477,129
  5. Step 5: Solve for x
    x = 644,611,477,129/511,855
  6. Step 6: Final answer
    x = 1,259,363.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.