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Finding the Third Proportional to 503,970,083.44 and 700,730,116.88

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Solution

The third proportional to 503,970,083.44 and 700,730,116.88 is: 974,309,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,970,083.44 : 700,730,116.88 = 700,730,116.88 : x
  2. Step 2: Convert to fraction form
    503,970,083.44/700,730,116.88 = 700,730,116.88/x
  3. Step 3: Cross multiply
    503,970,083.44x = 700,730,116.88 × 700,730,116.88
  4. Step 4: Simplify right side
    503,970,083.44x = 491,022,696,695,651,136
  5. Step 5: Solve for x
    x = 491,022,696,695,651,136/503,970,083.44
  6. Step 6: Final answer
    x = 974,309,215.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.