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Finding the Third Proportional to 357,076,425.75 and 551,525,793.38

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Solution

The third proportional to 357,076,425.75 and 551,525,793.38 is: 851,864,415.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,076,425.75 : 551,525,793.38 = 551,525,793.38 : x
  2. Step 2: Convert to fraction form
    357,076,425.75/551,525,793.38 = 551,525,793.38/x
  3. Step 3: Cross multiply
    357,076,425.75x = 551,525,793.38 × 551,525,793.38
  4. Step 4: Simplify right side
    357,076,425.75x = 304,180,700,757,923,200
  5. Step 5: Solve for x
    x = 304,180,700,757,923,200/357,076,425.75
  6. Step 6: Final answer
    x = 851,864,415.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.