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Finding the Third Proportional to 455,282 and 655,803

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Solution

The third proportional to 455,282 and 655,803 is: 944,639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,282 : 655,803 = 655,803 : x
  2. Step 2: Convert to fraction form
    455,282/655,803 = 655,803/x
  3. Step 3: Cross multiply
    455,282x = 655,803 × 655,803
  4. Step 4: Simplify right side
    455,282x = 430,077,574,809
  5. Step 5: Solve for x
    x = 430,077,574,809/455,282
  6. Step 6: Final answer
    x = 944,639.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.