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Finding the Third Proportional to 304,613,856 and 464,063,040

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Solution

The third proportional to 304,613,856 and 464,063,040 is: 706,975,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,613,856 : 464,063,040 = 464,063,040 : x
  2. Step 2: Convert to fraction form
    304,613,856/464,063,040 = 464,063,040/x
  3. Step 3: Cross multiply
    304,613,856x = 464,063,040 × 464,063,040
  4. Step 4: Simplify right side
    304,613,856x = 215,354,505,094,041,600
  5. Step 5: Solve for x
    x = 215,354,505,094,041,600/304,613,856
  6. Step 6: Final answer
    x = 706,975,407.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.