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Finding the Third Proportional to 501.93 and 1,064.60

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Solution

The third proportional to 501.93 and 1,064.60 is: 2,258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.93 : 1,064.60 = 1,064.60 : x
  2. Step 2: Convert to fraction form
    501.93/1,064.60 = 1,064.60/x
  3. Step 3: Cross multiply
    501.93x = 1,064.60 × 1,064.60
  4. Step 4: Simplify right side
    501.93x = 1,133,376.49
  5. Step 5: Solve for x
    x = 1,133,376.49/501.93
  6. Step 6: Final answer
    x = 2,258.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.