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Finding the Third Proportional to 973.69 and 1,458.84

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Solution

The third proportional to 973.69 and 1,458.84 is: 2,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.69 : 1,458.84 = 1,458.84 : x
  2. Step 2: Convert to fraction form
    973.69/1,458.84 = 1,458.84/x
  3. Step 3: Cross multiply
    973.69x = 1,458.84 × 1,458.84
  4. Step 4: Simplify right side
    973.69x = 2,128,225.09
  5. Step 5: Solve for x
    x = 2,128,225.09/973.69
  6. Step 6: Final answer
    x = 2,185.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.