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Finding the Third Proportional to 411,050,052 and 593,896,338

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Solution

The third proportional to 411,050,052 and 593,896,338 is: 858,077,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,050,052 : 593,896,338 = 593,896,338 : x
  2. Step 2: Convert to fraction form
    411,050,052/593,896,338 = 593,896,338/x
  3. Step 3: Cross multiply
    411,050,052x = 593,896,338 × 593,896,338
  4. Step 4: Simplify right side
    411,050,052x = 352,712,860,289,810,240
  5. Step 5: Solve for x
    x = 352,712,860,289,810,240/411,050,052
  6. Step 6: Final answer
    x = 858,077,644.25

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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.