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Finding the Third Proportional to 399,085.50 and 598,609.50

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Solution

The third proportional to 399,085.50 and 598,609.50 is: 897,886.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,085.50 : 598,609.50 = 598,609.50 : x
  2. Step 2: Convert to fraction form
    399,085.50/598,609.50 = 598,609.50/x
  3. Step 3: Cross multiply
    399,085.50x = 598,609.50 × 598,609.50
  4. Step 4: Simplify right side
    399,085.50x = 358,333,333,490.25
  5. Step 5: Solve for x
    x = 358,333,333,490.25/399,085.50
  6. Step 6: Final answer
    x = 897,886.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.