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Finding the Third Proportional to 410,948,340 and 601,679,208

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Solution

The third proportional to 410,948,340 and 601,679,208 is: 880,932,793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,948,340 : 601,679,208 = 601,679,208 : x
  2. Step 2: Convert to fraction form
    410,948,340/601,679,208 = 601,679,208/x
  3. Step 3: Cross multiply
    410,948,340x = 601,679,208 × 601,679,208
  4. Step 4: Simplify right side
    410,948,340x = 362,017,869,339,507,264
  5. Step 5: Solve for x
    x = 362,017,869,339,507,264/410,948,340
  6. Step 6: Final answer
    x = 880,932,793.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.