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Finding the Third Proportional to 350,580,771 and 547,094,668.50

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Solution

The third proportional to 350,580,771 and 547,094,668.50 is: 853,762,102.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,580,771 : 547,094,668.50 = 547,094,668.50 : x
  2. Step 2: Convert to fraction form
    350,580,771/547,094,668.50 = 547,094,668.50/x
  3. Step 3: Cross multiply
    350,580,771x = 547,094,668.50 × 547,094,668.50
  4. Step 4: Simplify right side
    350,580,771x = 299,312,576,301,124,864
  5. Step 5: Solve for x
    x = 299,312,576,301,124,864/350,580,771
  6. Step 6: Final answer
    x = 853,762,102.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.