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Finding the Third Proportional to 376,196,298 and 581,068,359

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Solution

The third proportional to 376,196,298 and 581,068,359 is: 897,511,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,196,298 : 581,068,359 = 581,068,359 : x
  2. Step 2: Convert to fraction form
    376,196,298/581,068,359 = 581,068,359/x
  3. Step 3: Cross multiply
    376,196,298x = 581,068,359 × 581,068,359
  4. Step 4: Simplify right side
    376,196,298x = 337,640,437,830,952,896
  5. Step 5: Solve for x
    x = 337,640,437,830,952,896/376,196,298
  6. Step 6: Final answer
    x = 897,511,324.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.