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Finding the Third Proportional to 504.66 and 1,070.48

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Solution

The third proportional to 504.66 and 1,070.48 is: 2,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.66 : 1,070.48 = 1,070.48 : x
  2. Step 2: Convert to fraction form
    504.66/1,070.48 = 1,070.48/x
  3. Step 3: Cross multiply
    504.66x = 1,070.48 × 1,070.48
  4. Step 4: Simplify right side
    504.66x = 1,145,936.80
  5. Step 5: Solve for x
    x = 1,145,936.80/504.66
  6. Step 6: Final answer
    x = 2,270.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.