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Finding the Third Proportional to 507.02 and 1,124.12

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Solution

The third proportional to 507.02 and 1,124.12 is: 2,492.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.02 : 1,124.12 = 1,124.12 : x
  2. Step 2: Convert to fraction form
    507.02/1,124.12 = 1,124.12/x
  3. Step 3: Cross multiply
    507.02x = 1,124.12 × 1,124.12
  4. Step 4: Simplify right side
    507.02x = 1,263,648.23
  5. Step 5: Solve for x
    x = 1,263,648.23/507.02
  6. Step 6: Final answer
    x = 2,492.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.