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Finding the Third Proportional to 327,048,259.50 and 502,696,820.25

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Solution

The third proportional to 327,048,259.50 and 502,696,820.25 is: 772,681,357.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,048,259.50 : 502,696,820.25 = 502,696,820.25 : x
  2. Step 2: Convert to fraction form
    327,048,259.50/502,696,820.25 = 502,696,820.25/x
  3. Step 3: Cross multiply
    327,048,259.50x = 502,696,820.25 × 502,696,820.25
  4. Step 4: Simplify right side
    327,048,259.50x = 252,704,093,089,460,800
  5. Step 5: Solve for x
    x = 252,704,093,089,460,800/327,048,259.50
  6. Step 6: Final answer
    x = 772,681,357.41

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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.