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Finding the Third Proportional to 399,192 and 598,740

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Solution

The third proportional to 399,192 and 598,740 is: 898,038.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,192 : 598,740 = 598,740 : x
  2. Step 2: Convert to fraction form
    399,192/598,740 = 598,740/x
  3. Step 3: Cross multiply
    399,192x = 598,740 × 598,740
  4. Step 4: Simplify right side
    399,192x = 358,489,587,600
  5. Step 5: Solve for x
    x = 358,489,587,600/399,192
  6. Step 6: Final answer
    x = 898,038.01

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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.