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Finding the Third Proportional to 612.50 and 716.50

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Solution

The third proportional to 612.50 and 716.50 is: 838.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.50 : 716.50 = 716.50 : x
  2. Step 2: Convert to fraction form
    612.50/716.50 = 716.50/x
  3. Step 3: Cross multiply
    612.50x = 716.50 × 716.50
  4. Step 4: Simplify right side
    612.50x = 513,372.25
  5. Step 5: Solve for x
    x = 513,372.25/612.50
  6. Step 6: Final answer
    x = 838.16

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.