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Finding the Third Proportional to 310,922,592 and 464,670,288

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Solution

The third proportional to 310,922,592 and 464,670,288 is: 694,444,476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,922,592 : 464,670,288 = 464,670,288 : x
  2. Step 2: Convert to fraction form
    310,922,592/464,670,288 = 464,670,288/x
  3. Step 3: Cross multiply
    310,922,592x = 464,670,288 × 464,670,288
  4. Step 4: Simplify right side
    310,922,592x = 215,918,476,550,002,944
  5. Step 5: Solve for x
    x = 215,918,476,550,002,944/310,922,592
  6. Step 6: Final answer
    x = 694,444,476.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.