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Finding the Third Proportional to 369,046.50 and 551,643.75

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Solution

The third proportional to 369,046.50 and 551,643.75 is: 824,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,046.50 : 551,643.75 = 551,643.75 : x
  2. Step 2: Convert to fraction form
    369,046.50/551,643.75 = 551,643.75/x
  3. Step 3: Cross multiply
    369,046.50x = 551,643.75 × 551,643.75
  4. Step 4: Simplify right side
    369,046.50x = 304,310,826,914.06
  5. Step 5: Solve for x
    x = 304,310,826,914.06/369,046.50
  6. Step 6: Final answer
    x = 824,586.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.