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Finding the Third Proportional to 317,604,576 and 485,750,016

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Solution

The third proportional to 317,604,576 and 485,750,016 is: 742,914,604.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,604,576 : 485,750,016 = 485,750,016 : x
  2. Step 2: Convert to fraction form
    317,604,576/485,750,016 = 485,750,016/x
  3. Step 3: Cross multiply
    317,604,576x = 485,750,016 × 485,750,016
  4. Step 4: Simplify right side
    317,604,576x = 235,953,078,044,000,256
  5. Step 5: Solve for x
    x = 235,953,078,044,000,256/317,604,576
  6. Step 6: Final answer
    x = 742,914,604.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.