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Finding the Third Proportional to 298,584,366 and 467,362,719

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Solution

The third proportional to 298,584,366 and 467,362,719 is: 731,545,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,584,366 : 467,362,719 = 467,362,719 : x
  2. Step 2: Convert to fraction form
    298,584,366/467,362,719 = 467,362,719/x
  3. Step 3: Cross multiply
    298,584,366x = 467,362,719 × 467,362,719
  4. Step 4: Simplify right side
    298,584,366x = 218,427,911,111,072,960
  5. Step 5: Solve for x
    x = 218,427,911,111,072,960/298,584,366
  6. Step 6: Final answer
    x = 731,545,037.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.