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Finding the Third Proportional to 505,302.50 and 763,218.50

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Solution

The third proportional to 505,302.50 and 763,218.50 is: 1,152,779.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,302.50 : 763,218.50 = 763,218.50 : x
  2. Step 2: Convert to fraction form
    505,302.50/763,218.50 = 763,218.50/x
  3. Step 3: Cross multiply
    505,302.50x = 763,218.50 × 763,218.50
  4. Step 4: Simplify right side
    505,302.50x = 582,502,478,742.25
  5. Step 5: Solve for x
    x = 582,502,478,742.25/505,302.50
  6. Step 6: Final answer
    x = 1,152,779.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.