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Finding the Third Proportional to 497.50 and 695.94

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Solution

The third proportional to 497.50 and 695.94 is: 973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.50 : 695.94 = 695.94 : x
  2. Step 2: Convert to fraction form
    497.50/695.94 = 695.94/x
  3. Step 3: Cross multiply
    497.50x = 695.94 × 695.94
  4. Step 4: Simplify right side
    497.50x = 484,329.00
  5. Step 5: Solve for x
    x = 484,329.00/497.50
  6. Step 6: Final answer
    x = 973.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.