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Finding the Third Proportional to 277,663,909.50 and 406,274,841.28

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Solution

The third proportional to 277,663,909.50 and 406,274,841.28 is: 594,456,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,663,909.50 : 406,274,841.28 = 406,274,841.28 : x
  2. Step 2: Convert to fraction form
    277,663,909.50/406,274,841.28 = 406,274,841.28/x
  3. Step 3: Cross multiply
    277,663,909.50x = 406,274,841.28 × 406,274,841.28
  4. Step 4: Simplify right side
    277,663,909.50x = 165,059,246,658,104,864
  5. Step 5: Solve for x
    x = 165,059,246,658,104,864/277,663,909.50
  6. Step 6: Final answer
    x = 594,456,971.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.