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Finding the Third Proportional to 713,157.75 and 971,321.63

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Solution

The third proportional to 713,157.75 and 971,321.63 is: 1,322,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,157.75 : 971,321.63 = 971,321.63 : x
  2. Step 2: Convert to fraction form
    713,157.75/971,321.63 = 971,321.63/x
  3. Step 3: Cross multiply
    713,157.75x = 971,321.63 × 971,321.63
  4. Step 4: Simplify right side
    713,157.75x = 943,465,699,192.64
  5. Step 5: Solve for x
    x = 943,465,699,192.64/713,157.75
  6. Step 6: Final answer
    x = 1,322,941.10

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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.