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Finding the Third Proportional to 332,113.50 and 515,666.25

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Solution

The third proportional to 332,113.50 and 515,666.25 is: 800,665.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,113.50 : 515,666.25 = 515,666.25 : x
  2. Step 2: Convert to fraction form
    332,113.50/515,666.25 = 515,666.25/x
  3. Step 3: Cross multiply
    332,113.50x = 515,666.25 × 515,666.25
  4. Step 4: Simplify right side
    332,113.50x = 265,911,681,389.06
  5. Step 5: Solve for x
    x = 265,911,681,389.06/332,113.50
  6. Step 6: Final answer
    x = 800,665.08

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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.