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Finding the Third Proportional to 322,021,301 and 707,304,250

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Solution

The third proportional to 322,021,301 and 707,304,250 is: 1,553,559,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,021,301 : 707,304,250 = 707,304,250 : x
  2. Step 2: Convert to fraction form
    322,021,301/707,304,250 = 707,304,250/x
  3. Step 3: Cross multiply
    322,021,301x = 707,304,250 × 707,304,250
  4. Step 4: Simplify right side
    322,021,301x = 500,279,302,068,062,528
  5. Step 5: Solve for x
    x = 500,279,302,068,062,528/322,021,301
  6. Step 6: Final answer
    x = 1,553,559,657.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.