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Finding the Third Proportional to 223,978.50 and 487,323

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Solution

The third proportional to 223,978.50 and 487,323 is: 1,060,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,978.50 : 487,323 = 487,323 : x
  2. Step 2: Convert to fraction form
    223,978.50/487,323 = 487,323/x
  3. Step 3: Cross multiply
    223,978.50x = 487,323 × 487,323
  4. Step 4: Simplify right side
    223,978.50x = 237,483,706,329
  5. Step 5: Solve for x
    x = 237,483,706,329/223,978.50
  6. Step 6: Final answer
    x = 1,060,296.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.