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Finding the Third Proportional to 291,282.75 and 457,700.63

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Solution

The third proportional to 291,282.75 and 457,700.63 is: 719,197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,282.75 : 457,700.63 = 457,700.63 : x
  2. Step 2: Convert to fraction form
    291,282.75/457,700.63 = 457,700.63/x
  3. Step 3: Cross multiply
    291,282.75x = 457,700.63 × 457,700.63
  4. Step 4: Simplify right side
    291,282.75x = 209,489,862,125.39
  5. Step 5: Solve for x
    x = 209,489,862,125.39/291,282.75
  6. Step 6: Final answer
    x = 719,197.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.