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Finding the Third Proportional to 255,746 and 597,341

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Solution

The third proportional to 255,746 and 597,341 is: 1,395,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,746 : 597,341 = 597,341 : x
  2. Step 2: Convert to fraction form
    255,746/597,341 = 597,341/x
  3. Step 3: Cross multiply
    255,746x = 597,341 × 597,341
  4. Step 4: Simplify right side
    255,746x = 356,816,270,281
  5. Step 5: Solve for x
    x = 356,816,270,281/255,746
  6. Step 6: Final answer
    x = 1,395,197.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.