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Finding the Third Proportional to 454,646 and 713,235

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Solution

The third proportional to 454,646 and 713,235 is: 1,118,901.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,646 : 713,235 = 713,235 : x
  2. Step 2: Convert to fraction form
    454,646/713,235 = 713,235/x
  3. Step 3: Cross multiply
    454,646x = 713,235 × 713,235
  4. Step 4: Simplify right side
    454,646x = 508,704,165,225
  5. Step 5: Solve for x
    x = 508,704,165,225/454,646
  6. Step 6: Final answer
    x = 1,118,901.66

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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.