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Finding the Third Proportional to 285,927,515 and 624,290,906

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Solution

The third proportional to 285,927,515 and 624,290,906 is: 1,363,069,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,927,515 : 624,290,906 = 624,290,906 : x
  2. Step 2: Convert to fraction form
    285,927,515/624,290,906 = 624,290,906/x
  3. Step 3: Cross multiply
    285,927,515x = 624,290,906 × 624,290,906
  4. Step 4: Simplify right side
    285,927,515x = 389,739,135,314,300,864
  5. Step 5: Solve for x
    x = 389,739,135,314,300,864/285,927,515
  6. Step 6: Final answer
    x = 1,363,069,711.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.