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Finding the Third Proportional to 365,415,228 and 538,029,594

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Solution

The third proportional to 365,415,228 and 538,029,594 is: 792,183,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,415,228 : 538,029,594 = 538,029,594 : x
  2. Step 2: Convert to fraction form
    365,415,228/538,029,594 = 538,029,594/x
  3. Step 3: Cross multiply
    365,415,228x = 538,029,594 × 538,029,594
  4. Step 4: Simplify right side
    365,415,228x = 289,475,844,019,804,864
  5. Step 5: Solve for x
    x = 289,475,844,019,804,864/365,415,228
  6. Step 6: Final answer
    x = 792,183,307.75

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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.