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Finding the Third Proportional to 340,964,061.75 and 498,691,509

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Solution

The third proportional to 340,964,061.75 and 498,691,509 is: 729,382,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,964,061.75 : 498,691,509 = 498,691,509 : x
  2. Step 2: Convert to fraction form
    340,964,061.75/498,691,509 = 498,691,509/x
  3. Step 3: Cross multiply
    340,964,061.75x = 498,691,509 × 498,691,509
  4. Step 4: Simplify right side
    340,964,061.75x = 248,693,221,148,697,088
  5. Step 5: Solve for x
    x = 248,693,221,148,697,088/340,964,061.75
  6. Step 6: Final answer
    x = 729,382,504.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.