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Finding the Third Proportional to 362,792 and 847,178

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Solution

The third proportional to 362,792 and 847,178 is: 1,978,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,792 : 847,178 = 847,178 : x
  2. Step 2: Convert to fraction form
    362,792/847,178 = 847,178/x
  3. Step 3: Cross multiply
    362,792x = 847,178 × 847,178
  4. Step 4: Simplify right side
    362,792x = 717,710,563,684
  5. Step 5: Solve for x
    x = 717,710,563,684/362,792
  6. Step 6: Final answer
    x = 1,978,297.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.