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Finding the Third Proportional to 740,416.50 and 1,574,255.25

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Solution

The third proportional to 740,416.50 and 1,574,255.25 is: 3,347,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,416.50 : 1,574,255.25 = 1,574,255.25 : x
  2. Step 2: Convert to fraction form
    740,416.50/1,574,255.25 = 1,574,255.25/x
  3. Step 3: Cross multiply
    740,416.50x = 1,574,255.25 × 1,574,255.25
  4. Step 4: Simplify right side
    740,416.50x = 2,478,279,592,152.56
  5. Step 5: Solve for x
    x = 2,478,279,592,152.56/740,416.50
  6. Step 6: Final answer
    x = 3,347,142.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.