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Finding the Third Proportional to 434,288.25 and 658,813.50

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Solution

The third proportional to 434,288.25 and 658,813.50 is: 999,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,288.25 : 658,813.50 = 658,813.50 : x
  2. Step 2: Convert to fraction form
    434,288.25/658,813.50 = 658,813.50/x
  3. Step 3: Cross multiply
    434,288.25x = 658,813.50 × 658,813.50
  4. Step 4: Simplify right side
    434,288.25x = 434,035,227,782.25
  5. Step 5: Solve for x
    x = 434,035,227,782.25/434,288.25
  6. Step 6: Final answer
    x = 999,417.39

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.