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Finding the Third Proportional to 504.04 and 1,122.93

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Solution

The third proportional to 504.04 and 1,122.93 is: 2,501.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.04 : 1,122.93 = 1,122.93 : x
  2. Step 2: Convert to fraction form
    504.04/1,122.93 = 1,122.93/x
  3. Step 3: Cross multiply
    504.04x = 1,122.93 × 1,122.93
  4. Step 4: Simplify right side
    504.04x = 1,260,962.31
  5. Step 5: Solve for x
    x = 1,260,962.31/504.04
  6. Step 6: Final answer
    x = 2,501.73

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.