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Finding the Third Proportional to 345,433,375 and 530,683,212

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Solution

The third proportional to 345,433,375 and 530,683,212 is: 815,279,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,433,375 : 530,683,212 = 530,683,212 : x
  2. Step 2: Convert to fraction form
    345,433,375/530,683,212 = 530,683,212/x
  3. Step 3: Cross multiply
    345,433,375x = 530,683,212 × 530,683,212
  4. Step 4: Simplify right side
    345,433,375x = 281,624,671,498,636,928
  5. Step 5: Solve for x
    x = 281,624,671,498,636,928/345,433,375
  6. Step 6: Final answer
    x = 815,279,274.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.