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Finding the Third Proportional to 722.08 and 1,556.76

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Solution

The third proportional to 722.08 and 1,556.76 is: 3,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.08 : 1,556.76 = 1,556.76 : x
  2. Step 2: Convert to fraction form
    722.08/1,556.76 = 1,556.76/x
  3. Step 3: Cross multiply
    722.08x = 1,556.76 × 1,556.76
  4. Step 4: Simplify right side
    722.08x = 2,423,488.71
  5. Step 5: Solve for x
    x = 2,423,488.71/722.08
  6. Step 6: Final answer
    x = 3,356.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.