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Finding the Third Proportional to 262,387,824.50 and 607,444,401

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Solution

The third proportional to 262,387,824.50 and 607,444,401 is: 1,406,272,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,387,824.50 : 607,444,401 = 607,444,401 : x
  2. Step 2: Convert to fraction form
    262,387,824.50/607,444,401 = 607,444,401/x
  3. Step 3: Cross multiply
    262,387,824.50x = 607,444,401 × 607,444,401
  4. Step 4: Simplify right side
    262,387,824.50x = 368,988,700,306,248,832
  5. Step 5: Solve for x
    x = 368,988,700,306,248,832/262,387,824.50
  6. Step 6: Final answer
    x = 1,406,272,188.92

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.