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Finding the Third Proportional to 435,852 and 660,298.50

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Solution

The third proportional to 435,852 and 660,298.50 is: 1,000,326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,852 : 660,298.50 = 660,298.50 : x
  2. Step 2: Convert to fraction form
    435,852/660,298.50 = 660,298.50/x
  3. Step 3: Cross multiply
    435,852x = 660,298.50 × 660,298.50
  4. Step 4: Simplify right side
    435,852x = 435,994,109,102.25
  5. Step 5: Solve for x
    x = 435,994,109,102.25/435,852
  6. Step 6: Final answer
    x = 1,000,326.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.