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Finding the Third Proportional to 427,297.50 and 936,117

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Solution

The third proportional to 427,297.50 and 936,117 is: 2,050,831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,297.50 : 936,117 = 936,117 : x
  2. Step 2: Convert to fraction form
    427,297.50/936,117 = 936,117/x
  3. Step 3: Cross multiply
    427,297.50x = 936,117 × 936,117
  4. Step 4: Simplify right side
    427,297.50x = 876,315,037,689
  5. Step 5: Solve for x
    x = 876,315,037,689/427,297.50
  6. Step 6: Final answer
    x = 2,050,831.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.