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Finding the Third Proportional to 327,048,255.76 and 502,696,819.04

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Solution

The third proportional to 327,048,255.76 and 502,696,819.04 is: 772,681,362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,048,255.76 : 502,696,819.04 = 502,696,819.04 : x
  2. Step 2: Convert to fraction form
    327,048,255.76/502,696,819.04 = 502,696,819.04/x
  3. Step 3: Cross multiply
    327,048,255.76x = 502,696,819.04 × 502,696,819.04
  4. Step 4: Simplify right side
    327,048,255.76x = 252,704,091,870,028,896
  5. Step 5: Solve for x
    x = 252,704,091,870,028,896/327,048,255.76
  6. Step 6: Final answer
    x = 772,681,362.53

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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.