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Finding the Third Proportional to 698 and 973.50

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Solution

The third proportional to 698 and 973.50 is: 1,357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    698 : 973.50 = 973.50 : x
  2. Step 2: Convert to fraction form
    698/973.50 = 973.50/x
  3. Step 3: Cross multiply
    698x = 973.50 × 973.50
  4. Step 4: Simplify right side
    698x = 947,702.25
  5. Step 5: Solve for x
    x = 947,702.25/698
  6. Step 6: Final answer
    x = 1,357.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.