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Finding the Third Proportional to 816,277.50 and 1,268,703

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Solution

The third proportional to 816,277.50 and 1,268,703 is: 1,971,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,277.50 : 1,268,703 = 1,268,703 : x
  2. Step 2: Convert to fraction form
    816,277.50/1,268,703 = 1,268,703/x
  3. Step 3: Cross multiply
    816,277.50x = 1,268,703 × 1,268,703
  4. Step 4: Simplify right side
    816,277.50x = 1,609,607,302,209
  5. Step 5: Solve for x
    x = 1,609,607,302,209/816,277.50
  6. Step 6: Final answer
    x = 1,971,887.38

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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.