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Finding the Third Proportional to 973.97 and 1,543.50

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Solution

The third proportional to 973.97 and 1,543.50 is: 2,446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.97 : 1,543.50 = 1,543.50 : x
  2. Step 2: Convert to fraction form
    973.97/1,543.50 = 1,543.50/x
  3. Step 3: Cross multiply
    973.97x = 1,543.50 × 1,543.50
  4. Step 4: Simplify right side
    973.97x = 2,382,392.25
  5. Step 5: Solve for x
    x = 2,382,392.25/973.97
  6. Step 6: Final answer
    x = 2,446.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.