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Finding the Third Proportional to 386.02 and 603.70

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Solution

The third proportional to 386.02 and 603.70 is: 944.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.02 : 603.70 = 603.70 : x
  2. Step 2: Convert to fraction form
    386.02/603.70 = 603.70/x
  3. Step 3: Cross multiply
    386.02x = 603.70 × 603.70
  4. Step 4: Simplify right side
    386.02x = 364,457.46
  5. Step 5: Solve for x
    x = 364,457.46/386.02
  6. Step 6: Final answer
    x = 944.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.