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Finding the Third Proportional to 459,324 and 675,378

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Solution

The third proportional to 459,324 and 675,378 is: 993,058.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,324 : 675,378 = 675,378 : x
  2. Step 2: Convert to fraction form
    459,324/675,378 = 675,378/x
  3. Step 3: Cross multiply
    459,324x = 675,378 × 675,378
  4. Step 4: Simplify right side
    459,324x = 456,135,442,884
  5. Step 5: Solve for x
    x = 456,135,442,884/459,324
  6. Step 6: Final answer
    x = 993,058.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.