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Finding the Third Proportional to 230,064 and 537,792

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Solution

The third proportional to 230,064 and 537,792 is: 1,257,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,064 : 537,792 = 537,792 : x
  2. Step 2: Convert to fraction form
    230,064/537,792 = 537,792/x
  3. Step 3: Cross multiply
    230,064x = 537,792 × 537,792
  4. Step 4: Simplify right side
    230,064x = 289,220,235,264
  5. Step 5: Solve for x
    x = 289,220,235,264/230,064
  6. Step 6: Final answer
    x = 1,257,129.47

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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.