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Finding the Third Proportional to 716,182.88 and 973,236.94

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Solution

The third proportional to 716,182.88 and 973,236.94 is: 1,322,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,182.88 : 973,236.94 = 973,236.94 : x
  2. Step 2: Convert to fraction form
    716,182.88/973,236.94 = 973,236.94/x
  3. Step 3: Cross multiply
    716,182.88x = 973,236.94 × 973,236.94
  4. Step 4: Simplify right side
    716,182.88x = 947,190,136,514.38
  5. Step 5: Solve for x
    x = 947,190,136,514.38/716,182.88
  6. Step 6: Final answer
    x = 1,322,553.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.