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Finding the Third Proportional to 638.63 and 904.13

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Solution

The third proportional to 638.63 and 904.13 is: 1,280.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.63 : 904.13 = 904.13 : x
  2. Step 2: Convert to fraction form
    638.63/904.13 = 904.13/x
  3. Step 3: Cross multiply
    638.63x = 904.13 × 904.13
  4. Step 4: Simplify right side
    638.63x = 817,442.02
  5. Step 5: Solve for x
    x = 817,442.02/638.63
  6. Step 6: Final answer
    x = 1,280.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.