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Finding the Third Proportional to 302,870,765.25 and 658,807,263

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Solution

The third proportional to 302,870,765.25 and 658,807,263 is: 1,433,043,593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,870,765.25 : 658,807,263 = 658,807,263 : x
  2. Step 2: Convert to fraction form
    302,870,765.25/658,807,263 = 658,807,263/x
  3. Step 3: Cross multiply
    302,870,765.25x = 658,807,263 × 658,807,263
  4. Step 4: Simplify right side
    302,870,765.25x = 434,027,009,781,551,168
  5. Step 5: Solve for x
    x = 434,027,009,781,551,168/302,870,765.25
  6. Step 6: Final answer
    x = 1,433,043,593.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.