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Finding the Third Proportional to 255,496 and 596,764

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Solution

The third proportional to 255,496 and 596,764 is: 1,393,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,496 : 596,764 = 596,764 : x
  2. Step 2: Convert to fraction form
    255,496/596,764 = 596,764/x
  3. Step 3: Cross multiply
    255,496x = 596,764 × 596,764
  4. Step 4: Simplify right side
    255,496x = 356,127,271,696
  5. Step 5: Solve for x
    x = 356,127,271,696/255,496
  6. Step 6: Final answer
    x = 1,393,866.33

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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.