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Finding the Third Proportional to 354,283,834.50 and 498,692,305.13

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Solution

The third proportional to 354,283,834.50 and 498,692,305.13 is: 701,962,638.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,283,834.50 : 498,692,305.13 = 498,692,305.13 : x
  2. Step 2: Convert to fraction form
    354,283,834.50/498,692,305.13 = 498,692,305.13/x
  3. Step 3: Cross multiply
    354,283,834.50x = 498,692,305.13 × 498,692,305.13
  4. Step 4: Simplify right side
    354,283,834.50x = 248,694,015,190,886,112
  5. Step 5: Solve for x
    x = 248,694,015,190,886,112/354,283,834.50
  6. Step 6: Final answer
    x = 701,962,638.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.