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Finding the Third Proportional to 282,961.50 and 424,442.25

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Solution

The third proportional to 282,961.50 and 424,442.25 is: 636,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,961.50 : 424,442.25 = 424,442.25 : x
  2. Step 2: Convert to fraction form
    282,961.50/424,442.25 = 424,442.25/x
  3. Step 3: Cross multiply
    282,961.50x = 424,442.25 × 424,442.25
  4. Step 4: Simplify right side
    282,961.50x = 180,151,223,585.06
  5. Step 5: Solve for x
    x = 180,151,223,585.06/282,961.50
  6. Step 6: Final answer
    x = 636,663.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.