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Finding the Third Proportional to 284,432.50 and 609,347

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Solution

The third proportional to 284,432.50 and 609,347 is: 1,305,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,432.50 : 609,347 = 609,347 : x
  2. Step 2: Convert to fraction form
    284,432.50/609,347 = 609,347/x
  3. Step 3: Cross multiply
    284,432.50x = 609,347 × 609,347
  4. Step 4: Simplify right side
    284,432.50x = 371,303,766,409
  5. Step 5: Solve for x
    x = 371,303,766,409/284,432.50
  6. Step 6: Final answer
    x = 1,305,419.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.