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Finding the Third Proportional to 612.50 and 1,240

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Solution

The third proportional to 612.50 and 1,240 is: 2,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.50 : 1,240 = 1,240 : x
  2. Step 2: Convert to fraction form
    612.50/1,240 = 1,240/x
  3. Step 3: Cross multiply
    612.50x = 1,240 × 1,240
  4. Step 4: Simplify right side
    612.50x = 1,537,600
  5. Step 5: Solve for x
    x = 1,537,600/612.50
  6. Step 6: Final answer
    x = 2,510.37

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.