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Finding the Third Proportional to 292,586.50 and 628,821.50

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Solution

The third proportional to 292,586.50 and 628,821.50 is: 1,351,451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,586.50 : 628,821.50 = 628,821.50 : x
  2. Step 2: Convert to fraction form
    292,586.50/628,821.50 = 628,821.50/x
  3. Step 3: Cross multiply
    292,586.50x = 628,821.50 × 628,821.50
  4. Step 4: Simplify right side
    292,586.50x = 395,416,478,862.25
  5. Step 5: Solve for x
    x = 395,416,478,862.25/292,586.50
  6. Step 6: Final answer
    x = 1,351,451.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.