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Finding the Third Proportional to 444,995,734.50 and 654,633,221.63

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Solution

The third proportional to 444,995,734.50 and 654,633,221.63 is: 963,030,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,995,734.50 : 654,633,221.63 = 654,633,221.63 : x
  2. Step 2: Convert to fraction form
    444,995,734.50/654,633,221.63 = 654,633,221.63/x
  3. Step 3: Cross multiply
    444,995,734.50x = 654,633,221.63 × 654,633,221.63
  4. Step 4: Simplify right side
    444,995,734.50x = 428,544,654,855,126,336
  5. Step 5: Solve for x
    x = 428,544,654,855,126,336/444,995,734.50
  6. Step 6: Final answer
    x = 963,030,927.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.