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Finding the Third Proportional to 294,344 and 455,656

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Solution

The third proportional to 294,344 and 455,656 is: 705,373.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,344 : 455,656 = 455,656 : x
  2. Step 2: Convert to fraction form
    294,344/455,656 = 455,656/x
  3. Step 3: Cross multiply
    294,344x = 455,656 × 455,656
  4. Step 4: Simplify right side
    294,344x = 207,622,390,336
  5. Step 5: Solve for x
    x = 207,622,390,336/294,344
  6. Step 6: Final answer
    x = 705,373.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.