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Finding the Third Proportional to 344,791,485 and 535,354,499.81

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Solution

The third proportional to 344,791,485 and 535,354,499.81 is: 831,239,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,791,485 : 535,354,499.81 = 535,354,499.81 : x
  2. Step 2: Convert to fraction form
    344,791,485/535,354,499.81 = 535,354,499.81/x
  3. Step 3: Cross multiply
    344,791,485x = 535,354,499.81 × 535,354,499.81
  4. Step 4: Simplify right side
    344,791,485x = 286,604,440,469,470,624
  5. Step 5: Solve for x
    x = 286,604,440,469,470,624/344,791,485
  6. Step 6: Final answer
    x = 831,239,902.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.