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Finding the Third Proportional to 304,115,809.92 and 471,115,323.56

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Solution

The third proportional to 304,115,809.92 and 471,115,323.56 is: 729,819,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,115,809.92 : 471,115,323.56 = 471,115,323.56 : x
  2. Step 2: Convert to fraction form
    304,115,809.92/471,115,323.56 = 471,115,323.56/x
  3. Step 3: Cross multiply
    304,115,809.92x = 471,115,323.56 × 471,115,323.56
  4. Step 4: Simplify right side
    304,115,809.92x = 221,949,648,095,399,072
  5. Step 5: Solve for x
    x = 221,949,648,095,399,072/304,115,809.92
  6. Step 6: Final answer
    x = 729,819,499.20

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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.