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Finding the Third Proportional to 452,074 and 660,705.50

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Solution

The third proportional to 452,074 and 660,705.50 is: 965,620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,074 : 660,705.50 = 660,705.50 : x
  2. Step 2: Convert to fraction form
    452,074/660,705.50 = 660,705.50/x
  3. Step 3: Cross multiply
    452,074x = 660,705.50 × 660,705.50
  4. Step 4: Simplify right side
    452,074x = 436,531,757,730.25
  5. Step 5: Solve for x
    x = 436,531,757,730.25/452,074
  6. Step 6: Final answer
    x = 965,620.14

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.