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Finding the Third Proportional to 709,408.50 and 1,556,782.50

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Solution

The third proportional to 709,408.50 and 1,556,782.50 is: 3,416,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,408.50 : 1,556,782.50 = 1,556,782.50 : x
  2. Step 2: Convert to fraction form
    709,408.50/1,556,782.50 = 1,556,782.50/x
  3. Step 3: Cross multiply
    709,408.50x = 1,556,782.50 × 1,556,782.50
  4. Step 4: Simplify right side
    709,408.50x = 2,423,571,752,306.25
  5. Step 5: Solve for x
    x = 2,423,571,752,306.25/709,408.50
  6. Step 6: Final answer
    x = 3,416,327.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.