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Finding the Third Proportional to 360,324 and 557,968

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Solution

The third proportional to 360,324 and 557,968 is: 864,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,324 : 557,968 = 557,968 : x
  2. Step 2: Convert to fraction form
    360,324/557,968 = 557,968/x
  3. Step 3: Cross multiply
    360,324x = 557,968 × 557,968
  4. Step 4: Simplify right side
    360,324x = 311,328,289,024
  5. Step 5: Solve for x
    x = 311,328,289,024/360,324
  6. Step 6: Final answer
    x = 864,023.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.