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Finding the Third Proportional to 257,585.25 and 566,551.50

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Solution

The third proportional to 257,585.25 and 566,551.50 is: 1,246,114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,585.25 : 566,551.50 = 566,551.50 : x
  2. Step 2: Convert to fraction form
    257,585.25/566,551.50 = 566,551.50/x
  3. Step 3: Cross multiply
    257,585.25x = 566,551.50 × 566,551.50
  4. Step 4: Simplify right side
    257,585.25x = 320,980,602,152.25
  5. Step 5: Solve for x
    x = 320,980,602,152.25/257,585.25
  6. Step 6: Final answer
    x = 1,246,114.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.