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Finding the Third Proportional to 284,368.50 and 658,325.25

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Solution

The third proportional to 284,368.50 and 658,325.25 is: 1,524,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,368.50 : 658,325.25 = 658,325.25 : x
  2. Step 2: Convert to fraction form
    284,368.50/658,325.25 = 658,325.25/x
  3. Step 3: Cross multiply
    284,368.50x = 658,325.25 × 658,325.25
  4. Step 4: Simplify right side
    284,368.50x = 433,392,134,787.56
  5. Step 5: Solve for x
    x = 433,392,134,787.56/284,368.50
  6. Step 6: Final answer
    x = 1,524,051.13

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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.