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Finding the Third Proportional to 297,502,229 and 642,807,904

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Solution

The third proportional to 297,502,229 and 642,807,904 is: 1,388,903,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,502,229 : 642,807,904 = 642,807,904 : x
  2. Step 2: Convert to fraction form
    297,502,229/642,807,904 = 642,807,904/x
  3. Step 3: Cross multiply
    297,502,229x = 642,807,904 × 642,807,904
  4. Step 4: Simplify right side
    297,502,229x = 413,202,001,444,873,216
  5. Step 5: Solve for x
    x = 413,202,001,444,873,216/297,502,229
  6. Step 6: Final answer
    x = 1,388,903,884.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.