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Finding the Third Proportional to 237,303 and 515,644.50

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Solution

The third proportional to 237,303 and 515,644.50 is: 1,120,463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,303 : 515,644.50 = 515,644.50 : x
  2. Step 2: Convert to fraction form
    237,303/515,644.50 = 515,644.50/x
  3. Step 3: Cross multiply
    237,303x = 515,644.50 × 515,644.50
  4. Step 4: Simplify right side
    237,303x = 265,889,250,380.25
  5. Step 5: Solve for x
    x = 265,889,250,380.25/237,303
  6. Step 6: Final answer
    x = 1,120,463.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.