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Finding the Third Proportional to 578,598 and 867,324

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Solution

The third proportional to 578,598 and 867,324 is: 1,300,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,598 : 867,324 = 867,324 : x
  2. Step 2: Convert to fraction form
    578,598/867,324 = 867,324/x
  3. Step 3: Cross multiply
    578,598x = 867,324 × 867,324
  4. Step 4: Simplify right side
    578,598x = 752,250,920,976
  5. Step 5: Solve for x
    x = 752,250,920,976/578,598
  6. Step 6: Final answer
    x = 1,300,127.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.