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Finding the Third Proportional to 435,299 and 616,498.50

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Solution

The third proportional to 435,299 and 616,498.50 is: 873,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,299 : 616,498.50 = 616,498.50 : x
  2. Step 2: Convert to fraction form
    435,299/616,498.50 = 616,498.50/x
  3. Step 3: Cross multiply
    435,299x = 616,498.50 × 616,498.50
  4. Step 4: Simplify right side
    435,299x = 380,070,400,502.25
  5. Step 5: Solve for x
    x = 380,070,400,502.25/435,299
  6. Step 6: Final answer
    x = 873,124.91

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.