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Finding the Third Proportional to 598.78 and 924.94

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Solution

The third proportional to 598.78 and 924.94 is: 1,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.78 : 924.94 = 924.94 : x
  2. Step 2: Convert to fraction form
    598.78/924.94 = 924.94/x
  3. Step 3: Cross multiply
    598.78x = 924.94 × 924.94
  4. Step 4: Simplify right side
    598.78x = 855,509.38
  5. Step 5: Solve for x
    x = 855,509.38/598.78
  6. Step 6: Final answer
    x = 1,428.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.