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Finding the Third Proportional to 357,076,426.50 and 551,525,794.50

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Solution

The third proportional to 357,076,426.50 and 551,525,794.50 is: 851,864,417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,076,426.50 : 551,525,794.50 = 551,525,794.50 : x
  2. Step 2: Convert to fraction form
    357,076,426.50/551,525,794.50 = 551,525,794.50/x
  3. Step 3: Cross multiply
    357,076,426.50x = 551,525,794.50 × 551,525,794.50
  4. Step 4: Simplify right side
    357,076,426.50x = 304,180,701,998,856,256
  5. Step 5: Solve for x
    x = 304,180,701,998,856,256/357,076,426.50
  6. Step 6: Final answer
    x = 851,864,417.32

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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.