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Finding the Third Proportional to 369,148 and 578,324

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Solution

The third proportional to 369,148 and 578,324 is: 906,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,148 : 578,324 = 578,324 : x
  2. Step 2: Convert to fraction form
    369,148/578,324 = 578,324/x
  3. Step 3: Cross multiply
    369,148x = 578,324 × 578,324
  4. Step 4: Simplify right side
    369,148x = 334,458,648,976
  5. Step 5: Solve for x
    x = 334,458,648,976/369,148
  6. Step 6: Final answer
    x = 906,028.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.