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Finding the Third Proportional to 448,810.50 and 968,955

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Solution

The third proportional to 448,810.50 and 968,955 is: 2,091,915.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,810.50 : 968,955 = 968,955 : x
  2. Step 2: Convert to fraction form
    448,810.50/968,955 = 968,955/x
  3. Step 3: Cross multiply
    448,810.50x = 968,955 × 968,955
  4. Step 4: Simplify right side
    448,810.50x = 938,873,792,025
  5. Step 5: Solve for x
    x = 938,873,792,025/448,810.50
  6. Step 6: Final answer
    x = 2,091,915.84

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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.