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Finding the Third Proportional to 634,277.50 and 1,330,831.50

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Solution

The third proportional to 634,277.50 and 1,330,831.50 is: 2,792,330.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,277.50 : 1,330,831.50 = 1,330,831.50 : x
  2. Step 2: Convert to fraction form
    634,277.50/1,330,831.50 = 1,330,831.50/x
  3. Step 3: Cross multiply
    634,277.50x = 1,330,831.50 × 1,330,831.50
  4. Step 4: Simplify right side
    634,277.50x = 1,771,112,481,392.25
  5. Step 5: Solve for x
    x = 1,771,112,481,392.25/634,277.50
  6. Step 6: Final answer
    x = 2,792,330.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.