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Finding the Third Proportional to 332,778,021.75 and 519,312,818.25

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Solution

The third proportional to 332,778,021.75 and 519,312,818.25 is: 810,407,495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,778,021.75 : 519,312,818.25 = 519,312,818.25 : x
  2. Step 2: Convert to fraction form
    332,778,021.75/519,312,818.25 = 519,312,818.25/x
  3. Step 3: Cross multiply
    332,778,021.75x = 519,312,818.25 × 519,312,818.25
  4. Step 4: Simplify right side
    332,778,021.75x = 269,685,803,198,757,536
  5. Step 5: Solve for x
    x = 269,685,803,198,757,536/332,778,021.75
  6. Step 6: Final answer
    x = 810,407,495.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.