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Finding the Third Proportional to 474.19 and 750.94

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Solution

The third proportional to 474.19 and 750.94 is: 1,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.19 : 750.94 = 750.94 : x
  2. Step 2: Convert to fraction form
    474.19/750.94 = 750.94/x
  3. Step 3: Cross multiply
    474.19x = 750.94 × 750.94
  4. Step 4: Simplify right side
    474.19x = 563,907.13
  5. Step 5: Solve for x
    x = 563,907.13/474.19
  6. Step 6: Final answer
    x = 1,189.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.