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Finding the Third Proportional to 435,482,397 and 645,060,267

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Solution

The third proportional to 435,482,397 and 645,060,267 is: 955,498,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,482,397 : 645,060,267 = 645,060,267 : x
  2. Step 2: Convert to fraction form
    435,482,397/645,060,267 = 645,060,267/x
  3. Step 3: Cross multiply
    435,482,397x = 645,060,267 × 645,060,267
  4. Step 4: Simplify right side
    435,482,397x = 416,102,748,062,111,296
  5. Step 5: Solve for x
    x = 416,102,748,062,111,296/435,482,397
  6. Step 6: Final answer
    x = 955,498,433.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.