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Finding the Third Proportional to 387,190 and 586,621.50

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Solution

The third proportional to 387,190 and 586,621.50 is: 888,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,190 : 586,621.50 = 586,621.50 : x
  2. Step 2: Convert to fraction form
    387,190/586,621.50 = 586,621.50/x
  3. Step 3: Cross multiply
    387,190x = 586,621.50 × 586,621.50
  4. Step 4: Simplify right side
    387,190x = 344,124,784,262.25
  5. Step 5: Solve for x
    x = 344,124,784,262.25/387,190
  6. Step 6: Final answer
    x = 888,774.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.