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Finding the Third Proportional to 319,453,472 and 490,719,648

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Solution

The third proportional to 319,453,472 and 490,719,648 is: 753,805,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,453,472 : 490,719,648 = 490,719,648 : x
  2. Step 2: Convert to fraction form
    319,453,472/490,719,648 = 490,719,648/x
  3. Step 3: Cross multiply
    319,453,472x = 490,719,648 × 490,719,648
  4. Step 4: Simplify right side
    319,453,472x = 240,805,772,933,243,904
  5. Step 5: Solve for x
    x = 240,805,772,933,243,904/319,453,472
  6. Step 6: Final answer
    x = 753,805,464.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.