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Finding the Third Proportional to 287,535 and 441,349.50

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Solution

The third proportional to 287,535 and 441,349.50 is: 677,445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,535 : 441,349.50 = 441,349.50 : x
  2. Step 2: Convert to fraction form
    287,535/441,349.50 = 441,349.50/x
  3. Step 3: Cross multiply
    287,535x = 441,349.50 × 441,349.50
  4. Step 4: Simplify right side
    287,535x = 194,789,381,150.25
  5. Step 5: Solve for x
    x = 194,789,381,150.25/287,535
  6. Step 6: Final answer
    x = 677,445.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.