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Finding the Third Proportional to 319,469,580 and 456,529,422

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Solution

The third proportional to 319,469,580 and 456,529,422 is: 652,391,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,469,580 : 456,529,422 = 456,529,422 : x
  2. Step 2: Convert to fraction form
    319,469,580/456,529,422 = 456,529,422/x
  3. Step 3: Cross multiply
    319,469,580x = 456,529,422 × 456,529,422
  4. Step 4: Simplify right side
    319,469,580x = 208,419,113,151,654,080
  5. Step 5: Solve for x
    x = 208,419,113,151,654,080/319,469,580
  6. Step 6: Final answer
    x = 652,391,107.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.