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Finding the Third Proportional to 449,068.50 and 968,121

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Solution

The third proportional to 449,068.50 and 968,121 is: 2,087,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,068.50 : 968,121 = 968,121 : x
  2. Step 2: Convert to fraction form
    449,068.50/968,121 = 968,121/x
  3. Step 3: Cross multiply
    449,068.50x = 968,121 × 968,121
  4. Step 4: Simplify right side
    449,068.50x = 937,258,270,641
  5. Step 5: Solve for x
    x = 937,258,270,641/449,068.50
  6. Step 6: Final answer
    x = 2,087,116.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.