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Finding the Third Proportional to 387,159.75 and 586,571.63

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Solution

The third proportional to 387,159.75 and 586,571.63 is: 888,693.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,159.75 : 586,571.63 = 586,571.63 : x
  2. Step 2: Convert to fraction form
    387,159.75/586,571.63 = 586,571.63/x
  3. Step 3: Cross multiply
    387,159.75x = 586,571.63 × 586,571.63
  4. Step 4: Simplify right side
    387,159.75x = 344,066,271,255.14
  5. Step 5: Solve for x
    x = 344,066,271,255.14/387,159.75
  6. Step 6: Final answer
    x = 888,693.29

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Why These Related Problems?

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