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Finding the Third Proportional to 299,482.50 and 452,342.50

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Solution

The third proportional to 299,482.50 and 452,342.50 is: 683,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,482.50 : 452,342.50 = 452,342.50 : x
  2. Step 2: Convert to fraction form
    299,482.50/452,342.50 = 452,342.50/x
  3. Step 3: Cross multiply
    299,482.50x = 452,342.50 × 452,342.50
  4. Step 4: Simplify right side
    299,482.50x = 204,613,737,306.25
  5. Step 5: Solve for x
    x = 204,613,737,306.25/299,482.50
  6. Step 6: Final answer
    x = 683,224.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.