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Finding the Third Proportional to 233,426 and 365,792

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Solution

The third proportional to 233,426 and 365,792 is: 573,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,426 : 365,792 = 365,792 : x
  2. Step 2: Convert to fraction form
    233,426/365,792 = 365,792/x
  3. Step 3: Cross multiply
    233,426x = 365,792 × 365,792
  4. Step 4: Simplify right side
    233,426x = 133,803,787,264
  5. Step 5: Solve for x
    x = 133,803,787,264/233,426
  6. Step 6: Final answer
    x = 573,217.15

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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.