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Finding the Third Proportional to 347,556,023.99 and 524,566,114.58

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Solution

The third proportional to 347,556,023.99 and 524,566,114.58 is: 791,727,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,556,023.99 : 524,566,114.58 = 524,566,114.58 : x
  2. Step 2: Convert to fraction form
    347,556,023.99/524,566,114.58 = 524,566,114.58/x
  3. Step 3: Cross multiply
    347,556,023.99x = 524,566,114.58 × 524,566,114.58
  4. Step 4: Simplify right side
    347,556,023.99x = 275,169,608,561,256,256
  5. Step 5: Solve for x
    x = 275,169,608,561,256,256/347,556,023.99
  6. Step 6: Final answer
    x = 791,727,346.29

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