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Finding the Third Proportional to 297,378,982 and 644,173,148

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Solution

The third proportional to 297,378,982 and 644,173,148 is: 1,395,387,938.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,378,982 : 644,173,148 = 644,173,148 : x
  2. Step 2: Convert to fraction form
    297,378,982/644,173,148 = 644,173,148/x
  3. Step 3: Cross multiply
    297,378,982x = 644,173,148 × 644,173,148
  4. Step 4: Simplify right side
    297,378,982x = 414,959,044,604,229,888
  5. Step 5: Solve for x
    x = 414,959,044,604,229,888/297,378,982
  6. Step 6: Final answer
    x = 1,395,387,938.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.