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Finding the Third Proportional to 602.16 and 899.30

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Solution

The third proportional to 602.16 and 899.30 is: 1,343.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.16 : 899.30 = 899.30 : x
  2. Step 2: Convert to fraction form
    602.16/899.30 = 899.30/x
  3. Step 3: Cross multiply
    602.16x = 899.30 × 899.30
  4. Step 4: Simplify right side
    602.16x = 808,734.87
  5. Step 5: Solve for x
    x = 808,734.87/602.16
  6. Step 6: Final answer
    x = 1,343.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.