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Finding the Third Proportional to 504.46 and 1,088.65

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Solution

The third proportional to 504.46 and 1,088.65 is: 2,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.46 : 1,088.65 = 1,088.65 : x
  2. Step 2: Convert to fraction form
    504.46/1,088.65 = 1,088.65/x
  3. Step 3: Cross multiply
    504.46x = 1,088.65 × 1,088.65
  4. Step 4: Simplify right side
    504.46x = 1,185,155.42
  5. Step 5: Solve for x
    x = 1,185,155.42/504.46
  6. Step 6: Final answer
    x = 2,349.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.