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Finding the Third Proportional to 387,787.50 and 579,334.50

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Solution

The third proportional to 387,787.50 and 579,334.50 is: 865,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,787.50 : 579,334.50 = 579,334.50 : x
  2. Step 2: Convert to fraction form
    387,787.50/579,334.50 = 579,334.50/x
  3. Step 3: Cross multiply
    387,787.50x = 579,334.50 × 579,334.50
  4. Step 4: Simplify right side
    387,787.50x = 335,628,462,890.25
  5. Step 5: Solve for x
    x = 335,628,462,890.25/387,787.50
  6. Step 6: Final answer
    x = 865,495.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.