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Finding the Third Proportional to 432,420,240 and 645,796,744.50

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Solution

The third proportional to 432,420,240 and 645,796,744.50 is: 964,463,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,420,240 : 645,796,744.50 = 645,796,744.50 : x
  2. Step 2: Convert to fraction form
    432,420,240/645,796,744.50 = 645,796,744.50/x
  3. Step 3: Cross multiply
    432,420,240x = 645,796,744.50 × 645,796,744.50
  4. Step 4: Simplify right side
    432,420,240x = 417,053,435,206,798,272
  5. Step 5: Solve for x
    x = 417,053,435,206,798,272/432,420,240
  6. Step 6: Final answer
    x = 964,463,261.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.