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Finding the Third Proportional to 307,396,461 and 472,194,628.50

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Solution

The third proportional to 307,396,461 and 472,194,628.50 is: 725,342,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,396,461 : 472,194,628.50 = 472,194,628.50 : x
  2. Step 2: Convert to fraction form
    307,396,461/472,194,628.50 = 472,194,628.50/x
  3. Step 3: Cross multiply
    307,396,461x = 472,194,628.50 × 472,194,628.50
  4. Step 4: Simplify right side
    307,396,461x = 222,967,767,184,253,024
  5. Step 5: Solve for x
    x = 222,967,767,184,253,024/307,396,461
  6. Step 6: Final answer
    x = 725,342,661.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.