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Finding the Third Proportional to 410.48 and 900.70

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Solution

The third proportional to 410.48 and 900.70 is: 1,976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.48 : 900.70 = 900.70 : x
  2. Step 2: Convert to fraction form
    410.48/900.70 = 900.70/x
  3. Step 3: Cross multiply
    410.48x = 900.70 × 900.70
  4. Step 4: Simplify right side
    410.48x = 811,266.12
  5. Step 5: Solve for x
    x = 811,266.12/410.48
  6. Step 6: Final answer
    x = 1,976.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.