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Finding the Third Proportional to 266,530,605 and 594,310,498.50

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Solution

The third proportional to 266,530,605 and 594,310,498.50 is: 1,325,194,788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,530,605 : 594,310,498.50 = 594,310,498.50 : x
  2. Step 2: Convert to fraction form
    266,530,605/594,310,498.50 = 594,310,498.50/x
  3. Step 3: Cross multiply
    266,530,605x = 594,310,498.50 × 594,310,498.50
  4. Step 4: Simplify right side
    266,530,605x = 353,204,968,627,318,528
  5. Step 5: Solve for x
    x = 353,204,968,627,318,528/266,530,605
  6. Step 6: Final answer
    x = 1,325,194,788.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.