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Finding the Third Proportional to 510,657.75 and 768,187.13

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Solution

The third proportional to 510,657.75 and 768,187.13 is: 1,155,590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,657.75 : 768,187.13 = 768,187.13 : x
  2. Step 2: Convert to fraction form
    510,657.75/768,187.13 = 768,187.13/x
  3. Step 3: Cross multiply
    510,657.75x = 768,187.13 × 768,187.13
  4. Step 4: Simplify right side
    510,657.75x = 590,111,459,015.77
  5. Step 5: Solve for x
    x = 590,111,459,015.77/510,657.75
  6. Step 6: Final answer
    x = 1,155,590.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.