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Finding the Third Proportional to 277,446.52 and 596,196.07

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Solution

The third proportional to 277,446.52 and 596,196.07 is: 1,281,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,446.52 : 596,196.07 = 596,196.07 : x
  2. Step 2: Convert to fraction form
    277,446.52/596,196.07 = 596,196.07/x
  3. Step 3: Cross multiply
    277,446.52x = 596,196.07 × 596,196.07
  4. Step 4: Simplify right side
    277,446.52x = 355,449,754,256.07
  5. Step 5: Solve for x
    x = 355,449,754,256.07/277,446.52
  6. Step 6: Final answer
    x = 1,281,146.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.