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Finding the Third Proportional to 348,144,727.50 and 520,836,762.88

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Solution

The third proportional to 348,144,727.50 and 520,836,762.88 is: 779,190,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,144,727.50 : 520,836,762.88 = 520,836,762.88 : x
  2. Step 2: Convert to fraction form
    348,144,727.50/520,836,762.88 = 520,836,762.88/x
  3. Step 3: Cross multiply
    348,144,727.50x = 520,836,762.88 × 520,836,762.88
  4. Step 4: Simplify right side
    348,144,727.50x = 271,270,933,562,108,992
  5. Step 5: Solve for x
    x = 271,270,933,562,108,992/348,144,727.50
  6. Step 6: Final answer
    x = 779,190,124.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.