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Finding the Third Proportional to 505,416 and 788,532

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Solution

The third proportional to 505,416 and 788,532 is: 1,230,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,416 : 788,532 = 788,532 : x
  2. Step 2: Convert to fraction form
    505,416/788,532 = 788,532/x
  3. Step 3: Cross multiply
    505,416x = 788,532 × 788,532
  4. Step 4: Simplify right side
    505,416x = 621,782,715,024
  5. Step 5: Solve for x
    x = 621,782,715,024/505,416
  6. Step 6: Final answer
    x = 1,230,239.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.