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Finding the Third Proportional to 340.45 and 577.76

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Solution

The third proportional to 340.45 and 577.76 is: 980.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.45 : 577.76 = 577.76 : x
  2. Step 2: Convert to fraction form
    340.45/577.76 = 577.76/x
  3. Step 3: Cross multiply
    340.45x = 577.76 × 577.76
  4. Step 4: Simplify right side
    340.45x = 333,804.09
  5. Step 5: Solve for x
    x = 333,804.09/340.45
  6. Step 6: Final answer
    x = 980.47

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.