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Finding the Third Proportional to 307,396,059.75 and 475,458,312.38

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Solution

The third proportional to 307,396,059.75 and 475,458,312.38 is: 735,405,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,396,059.75 : 475,458,312.38 = 475,458,312.38 : x
  2. Step 2: Convert to fraction form
    307,396,059.75/475,458,312.38 = 475,458,312.38/x
  3. Step 3: Cross multiply
    307,396,059.75x = 475,458,312.38 × 475,458,312.38
  4. Step 4: Simplify right side
    307,396,059.75x = 226,060,606,806,483,072
  5. Step 5: Solve for x
    x = 226,060,606,806,483,072/307,396,059.75
  6. Step 6: Final answer
    x = 735,405,024.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.