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Finding the Third Proportional to 395,834,688.50 and 536,985,629.25

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Solution

The third proportional to 395,834,688.50 and 536,985,629.25 is: 728,469,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,834,688.50 : 536,985,629.25 = 536,985,629.25 : x
  2. Step 2: Convert to fraction form
    395,834,688.50/536,985,629.25 = 536,985,629.25/x
  3. Step 3: Cross multiply
    395,834,688.50x = 536,985,629.25 × 536,985,629.25
  4. Step 4: Simplify right side
    395,834,688.50x = 288,353,566,021,018,432
  5. Step 5: Solve for x
    x = 288,353,566,021,018,432/395,834,688.50
  6. Step 6: Final answer
    x = 728,469,672.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.