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Finding the Third Proportional to 284,368.50 and 658,324.50

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Solution

The third proportional to 284,368.50 and 658,324.50 is: 1,524,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,368.50 : 658,324.50 = 658,324.50 : x
  2. Step 2: Convert to fraction form
    284,368.50/658,324.50 = 658,324.50/x
  3. Step 3: Cross multiply
    284,368.50x = 658,324.50 × 658,324.50
  4. Step 4: Simplify right side
    284,368.50x = 433,391,147,300.25
  5. Step 5: Solve for x
    x = 433,391,147,300.25/284,368.50
  6. Step 6: Final answer
    x = 1,524,047.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.