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Finding the Third Proportional to 454,266 and 983,767.50

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Solution

The third proportional to 454,266 and 983,767.50 is: 2,130,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,266 : 983,767.50 = 983,767.50 : x
  2. Step 2: Convert to fraction form
    454,266/983,767.50 = 983,767.50/x
  3. Step 3: Cross multiply
    454,266x = 983,767.50 × 983,767.50
  4. Step 4: Simplify right side
    454,266x = 967,798,494,056.25
  5. Step 5: Solve for x
    x = 967,798,494,056.25/454,266
  6. Step 6: Final answer
    x = 2,130,466.50

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