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Finding the Third Proportional to 756,902.50 and 1,138,513

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Solution

The third proportional to 756,902.50 and 1,138,513 is: 1,712,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,902.50 : 1,138,513 = 1,138,513 : x
  2. Step 2: Convert to fraction form
    756,902.50/1,138,513 = 1,138,513/x
  3. Step 3: Cross multiply
    756,902.50x = 1,138,513 × 1,138,513
  4. Step 4: Simplify right side
    756,902.50x = 1,296,211,851,169
  5. Step 5: Solve for x
    x = 1,296,211,851,169/756,902.50
  6. Step 6: Final answer
    x = 1,712,521.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.