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Finding the Third Proportional to 304,600,079 and 470,872,888

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Solution

The third proportional to 304,600,079 and 470,872,888 is: 727,909,452.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,600,079 : 470,872,888 = 470,872,888 : x
  2. Step 2: Convert to fraction form
    304,600,079/470,872,888 = 470,872,888/x
  3. Step 3: Cross multiply
    304,600,079x = 470,872,888 × 470,872,888
  4. Step 4: Simplify right side
    304,600,079x = 221,721,276,653,460,544
  5. Step 5: Solve for x
    x = 221,721,276,653,460,544/304,600,079
  6. Step 6: Final answer
    x = 727,909,452.23

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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.