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Finding the Third Proportional to 387,532 and 565,984

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Solution

The third proportional to 387,532 and 565,984 is: 826,610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,532 : 565,984 = 565,984 : x
  2. Step 2: Convert to fraction form
    387,532/565,984 = 565,984/x
  3. Step 3: Cross multiply
    387,532x = 565,984 × 565,984
  4. Step 4: Simplify right side
    387,532x = 320,337,888,256
  5. Step 5: Solve for x
    x = 320,337,888,256/387,532
  6. Step 6: Final answer
    x = 826,610.16

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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.