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Finding the Third Proportional to 387,520.50 and 565,968

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Solution

The third proportional to 387,520.50 and 565,968 is: 826,587.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,520.50 : 565,968 = 565,968 : x
  2. Step 2: Convert to fraction form
    387,520.50/565,968 = 565,968/x
  3. Step 3: Cross multiply
    387,520.50x = 565,968 × 565,968
  4. Step 4: Simplify right side
    387,520.50x = 320,319,777,024
  5. Step 5: Solve for x
    x = 320,319,777,024/387,520.50
  6. Step 6: Final answer
    x = 826,587.95

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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.