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Finding the Third Proportional to 454,254.75 and 983,754

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Solution

The third proportional to 454,254.75 and 983,754 is: 2,130,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,254.75 : 983,754 = 983,754 : x
  2. Step 2: Convert to fraction form
    454,254.75/983,754 = 983,754/x
  3. Step 3: Cross multiply
    454,254.75x = 983,754 × 983,754
  4. Step 4: Simplify right side
    454,254.75x = 967,771,932,516
  5. Step 5: Solve for x
    x = 967,771,932,516/454,254.75
  6. Step 6: Final answer
    x = 2,130,460.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.