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Finding the Third Proportional to 387,054 and 586,413

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Solution

The third proportional to 387,054 and 586,413 is: 888,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,054 : 586,413 = 586,413 : x
  2. Step 2: Convert to fraction form
    387,054/586,413 = 586,413/x
  3. Step 3: Cross multiply
    387,054x = 586,413 × 586,413
  4. Step 4: Simplify right side
    387,054x = 343,880,206,569
  5. Step 5: Solve for x
    x = 343,880,206,569/387,054
  6. Step 6: Final answer
    x = 888,455.37

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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.