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Finding the Third Proportional to 441,199,068 and 698,295,762

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Solution

The third proportional to 441,199,068 and 698,295,762 is: 1,105,208,525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,199,068 : 698,295,762 = 698,295,762 : x
  2. Step 2: Convert to fraction form
    441,199,068/698,295,762 = 698,295,762/x
  3. Step 3: Cross multiply
    441,199,068x = 698,295,762 × 698,295,762
  4. Step 4: Simplify right side
    441,199,068x = 487,616,971,227,160,640
  5. Step 5: Solve for x
    x = 487,616,971,227,160,640/441,199,068
  6. Step 6: Final answer
    x = 1,105,208,525.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.