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Finding the Third Proportional to 411,050,054 and 593,896,341

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Solution

The third proportional to 411,050,054 and 593,896,341 is: 858,077,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,050,054 : 593,896,341 = 593,896,341 : x
  2. Step 2: Convert to fraction form
    411,050,054/593,896,341 = 593,896,341/x
  3. Step 3: Cross multiply
    411,050,054x = 593,896,341 × 593,896,341
  4. Step 4: Simplify right side
    411,050,054x = 352,712,863,853,188,288
  5. Step 5: Solve for x
    x = 352,712,863,853,188,288/411,050,054
  6. Step 6: Final answer
    x = 858,077,648.75

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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.