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Finding the Third Proportional to 285,927,520 and 624,290,914

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Solution

The third proportional to 285,927,520 and 624,290,914 is: 1,363,069,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,927,520 : 624,290,914 = 624,290,914 : x
  2. Step 2: Convert to fraction form
    285,927,520/624,290,914 = 624,290,914/x
  3. Step 3: Cross multiply
    285,927,520x = 624,290,914 × 624,290,914
  4. Step 4: Simplify right side
    285,927,520x = 389,739,145,302,955,392
  5. Step 5: Solve for x
    x = 389,739,145,302,955,392/285,927,520
  6. Step 6: Final answer
    x = 1,363,069,722.37

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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.