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Finding the Third Proportional to 454,257 and 983,749.50

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Solution

The third proportional to 454,257 and 983,749.50 is: 2,130,430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,257 : 983,749.50 = 983,749.50 : x
  2. Step 2: Convert to fraction form
    454,257/983,749.50 = 983,749.50/x
  3. Step 3: Cross multiply
    454,257x = 983,749.50 × 983,749.50
  4. Step 4: Simplify right side
    454,257x = 967,763,078,750.25
  5. Step 5: Solve for x
    x = 967,763,078,750.25/454,257
  6. Step 6: Final answer
    x = 2,130,430.74

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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.