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Finding the Third Proportional to 387,349.59 and 566,159.63

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Solution

The third proportional to 387,349.59 and 566,159.63 is: 827,512.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,349.59 : 566,159.63 = 566,159.63 : x
  2. Step 2: Convert to fraction form
    387,349.59/566,159.63 = 566,159.63/x
  3. Step 3: Cross multiply
    387,349.59x = 566,159.63 × 566,159.63
  4. Step 4: Simplify right side
    387,349.59x = 320,536,720,980.14
  5. Step 5: Solve for x
    x = 320,536,720,980.14/387,349.59
  6. Step 6: Final answer
    x = 827,512.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.