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Finding the Third Proportional to 299,938.50 and 708,048

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Solution

The third proportional to 299,938.50 and 708,048 is: 1,671,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,938.50 : 708,048 = 708,048 : x
  2. Step 2: Convert to fraction form
    299,938.50/708,048 = 708,048/x
  3. Step 3: Cross multiply
    299,938.50x = 708,048 × 708,048
  4. Step 4: Simplify right side
    299,938.50x = 501,331,970,304
  5. Step 5: Solve for x
    x = 501,331,970,304/299,938.50
  6. Step 6: Final answer
    x = 1,671,449.21

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.