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Finding the Third Proportional to 898.59 and 1,322.16

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Solution

The third proportional to 898.59 and 1,322.16 is: 1,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.59 : 1,322.16 = 1,322.16 : x
  2. Step 2: Convert to fraction form
    898.59/1,322.16 = 1,322.16/x
  3. Step 3: Cross multiply
    898.59x = 1,322.16 × 1,322.16
  4. Step 4: Simplify right side
    898.59x = 1,748,097.15
  5. Step 5: Solve for x
    x = 1,748,097.15/898.59
  6. Step 6: Final answer
    x = 1,945.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.