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Finding the Third Proportional to 314.31 and 470.93

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Solution

The third proportional to 314.31 and 470.93 is: 705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.31 : 470.93 = 470.93 : x
  2. Step 2: Convert to fraction form
    314.31/470.93 = 470.93/x
  3. Step 3: Cross multiply
    314.31x = 470.93 × 470.93
  4. Step 4: Simplify right side
    314.31x = 221,776.15
  5. Step 5: Solve for x
    x = 221,776.15/314.31
  6. Step 6: Final answer
    x = 705.60

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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.