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Finding the Third Proportional to 255,492 and 596,754

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Solution

The third proportional to 255,492 and 596,754 is: 1,393,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,492 : 596,754 = 596,754 : x
  2. Step 2: Convert to fraction form
    255,492/596,754 = 596,754/x
  3. Step 3: Cross multiply
    255,492x = 596,754 × 596,754
  4. Step 4: Simplify right side
    255,492x = 356,115,336,516
  5. Step 5: Solve for x
    x = 356,115,336,516/255,492
  6. Step 6: Final answer
    x = 1,393,841.44

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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.