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Finding the Third Proportional to 510,595.88 and 1,203,592.50

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Solution

The third proportional to 510,595.88 and 1,203,592.50 is: 2,837,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,595.88 : 1,203,592.50 = 1,203,592.50 : x
  2. Step 2: Convert to fraction form
    510,595.88/1,203,592.50 = 1,203,592.50/x
  3. Step 3: Cross multiply
    510,595.88x = 1,203,592.50 × 1,203,592.50
  4. Step 4: Simplify right side
    510,595.88x = 1,448,634,906,056.25
  5. Step 5: Solve for x
    x = 1,448,634,906,056.25/510,595.88
  6. Step 6: Final answer
    x = 2,837,145.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.