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Finding the Third Proportional to 497.95 and 1,094.20

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Solution

The third proportional to 497.95 and 1,094.20 is: 2,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.95 : 1,094.20 = 1,094.20 : x
  2. Step 2: Convert to fraction form
    497.95/1,094.20 = 1,094.20/x
  3. Step 3: Cross multiply
    497.95x = 1,094.20 × 1,094.20
  4. Step 4: Simplify right side
    497.95x = 1,197,280.48
  5. Step 5: Solve for x
    x = 1,197,280.48/497.95
  6. Step 6: Final answer
    x = 2,404.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.