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Finding the Third Proportional to 285,927,522 and 624,290,918

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Solution

The third proportional to 285,927,522 and 624,290,918 is: 1,363,069,730.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,927,522 : 624,290,918 = 624,290,918 : x
  2. Step 2: Convert to fraction form
    285,927,522/624,290,918 = 624,290,918/x
  3. Step 3: Cross multiply
    285,927,522x = 624,290,918 × 624,290,918
  4. Step 4: Simplify right side
    285,927,522x = 389,739,150,297,282,752
  5. Step 5: Solve for x
    x = 389,739,150,297,282,752/285,927,522
  6. Step 6: Final answer
    x = 1,363,069,730.30

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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.