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Finding the Third Proportional to 469.76 and 1,271.74

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Solution

The third proportional to 469.76 and 1,271.74 is: 3,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.76 : 1,271.74 = 1,271.74 : x
  2. Step 2: Convert to fraction form
    469.76/1,271.74 = 1,271.74/x
  3. Step 3: Cross multiply
    469.76x = 1,271.74 × 1,271.74
  4. Step 4: Simplify right side
    469.76x = 1,617,328.19
  5. Step 5: Solve for x
    x = 1,617,328.19/469.76
  6. Step 6: Final answer
    x = 3,442.90

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.