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Finding the Third Proportional to 347,556,525.75 and 524,566,876.50

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Solution

The third proportional to 347,556,525.75 and 524,566,876.50 is: 791,728,503.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,556,525.75 : 524,566,876.50 = 524,566,876.50 : x
  2. Step 2: Convert to fraction form
    347,556,525.75/524,566,876.50 = 524,566,876.50/x
  3. Step 3: Cross multiply
    347,556,525.75x = 524,566,876.50 × 524,566,876.50
  4. Step 4: Simplify right side
    347,556,525.75x = 275,170,407,920,966,240
  5. Step 5: Solve for x
    x = 275,170,407,920,966,240/347,556,525.75
  6. Step 6: Final answer
    x = 791,728,503.23

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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.