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Finding the Third Proportional to 255,370 and 596,494

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Solution

The third proportional to 255,370 and 596,494 is: 1,393,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,370 : 596,494 = 596,494 : x
  2. Step 2: Convert to fraction form
    255,370/596,494 = 596,494/x
  3. Step 3: Cross multiply
    255,370x = 596,494 × 596,494
  4. Step 4: Simplify right side
    255,370x = 355,805,092,036
  5. Step 5: Solve for x
    x = 355,805,092,036/255,370
  6. Step 6: Final answer
    x = 1,393,292.45

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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.