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Finding the Third Proportional to 411,049,975 and 593,896,231

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Solution

The third proportional to 411,049,975 and 593,896,231 is: 858,077,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,049,975 : 593,896,231 = 593,896,231 : x
  2. Step 2: Convert to fraction form
    411,049,975/593,896,231 = 593,896,231/x
  3. Step 3: Cross multiply
    411,049,975x = 593,896,231 × 593,896,231
  4. Step 4: Simplify right side
    411,049,975x = 352,712,733,196,005,376
  5. Step 5: Solve for x
    x = 352,712,733,196,005,376/411,049,975
  6. Step 6: Final answer
    x = 858,077,495.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.