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Finding the Third Proportional to 369,113.63 and 527,831.44

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Solution

The third proportional to 369,113.63 and 527,831.44 is: 754,797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,113.63 : 527,831.44 = 527,831.44 : x
  2. Step 2: Convert to fraction form
    369,113.63/527,831.44 = 527,831.44/x
  3. Step 3: Cross multiply
    369,113.63x = 527,831.44 × 527,831.44
  4. Step 4: Simplify right side
    369,113.63x = 278,606,026,413.32
  5. Step 5: Solve for x
    x = 278,606,026,413.32/369,113.63
  6. Step 6: Final answer
    x = 754,797.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.