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Finding the Third Proportional to 388,192.50 and 592,656.75

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Solution

The third proportional to 388,192.50 and 592,656.75 is: 904,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,192.50 : 592,656.75 = 592,656.75 : x
  2. Step 2: Convert to fraction form
    388,192.50/592,656.75 = 592,656.75/x
  3. Step 3: Cross multiply
    388,192.50x = 592,656.75 × 592,656.75
  4. Step 4: Simplify right side
    388,192.50x = 351,242,023,320.56
  5. Step 5: Solve for x
    x = 351,242,023,320.56/388,192.50
  6. Step 6: Final answer
    x = 904,814.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.