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Finding the Third Proportional to 210,288 and 461,287.50

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Solution

The third proportional to 210,288 and 461,287.50 is: 1,011,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,288 : 461,287.50 = 461,287.50 : x
  2. Step 2: Convert to fraction form
    210,288/461,287.50 = 461,287.50/x
  3. Step 3: Cross multiply
    210,288x = 461,287.50 × 461,287.50
  4. Step 4: Simplify right side
    210,288x = 212,786,157,656.25
  5. Step 5: Solve for x
    x = 212,786,157,656.25/210,288
  6. Step 6: Final answer
    x = 1,011,879.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.