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Finding the Third Proportional to 358,573,248 and 527,606,256

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Solution

The third proportional to 358,573,248 and 527,606,256 is: 776,322,168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,573,248 : 527,606,256 = 527,606,256 : x
  2. Step 2: Convert to fraction form
    358,573,248/527,606,256 = 527,606,256/x
  3. Step 3: Cross multiply
    358,573,248x = 527,606,256 × 527,606,256
  4. Step 4: Simplify right side
    358,573,248x = 278,368,361,370,337,536
  5. Step 5: Solve for x
    x = 278,368,361,370,337,536/358,573,248
  6. Step 6: Final answer
    x = 776,322,168.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.