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Finding the Third Proportional to 294,320 and 455,628

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Solution

The third proportional to 294,320 and 455,628 is: 705,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,320 : 455,628 = 455,628 : x
  2. Step 2: Convert to fraction form
    294,320/455,628 = 455,628/x
  3. Step 3: Cross multiply
    294,320x = 455,628 × 455,628
  4. Step 4: Simplify right side
    294,320x = 207,596,874,384
  5. Step 5: Solve for x
    x = 207,596,874,384/294,320
  6. Step 6: Final answer
    x = 705,344.10

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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.