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Finding the Third Proportional to 260,822.50 and 571,460

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Solution

The third proportional to 260,822.50 and 571,460 is: 1,252,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,822.50 : 571,460 = 571,460 : x
  2. Step 2: Convert to fraction form
    260,822.50/571,460 = 571,460/x
  3. Step 3: Cross multiply
    260,822.50x = 571,460 × 571,460
  4. Step 4: Simplify right side
    260,822.50x = 326,566,531,600
  5. Step 5: Solve for x
    x = 326,566,531,600/260,822.50
  6. Step 6: Final answer
    x = 1,252,064.26

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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.