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Finding the Third Proportional to 277,434.50 and 602,446.50

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Solution

The third proportional to 277,434.50 and 602,446.50 is: 1,308,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,434.50 : 602,446.50 = 602,446.50 : x
  2. Step 2: Convert to fraction form
    277,434.50/602,446.50 = 602,446.50/x
  3. Step 3: Cross multiply
    277,434.50x = 602,446.50 × 602,446.50
  4. Step 4: Simplify right side
    277,434.50x = 362,941,785,362.25
  5. Step 5: Solve for x
    x = 362,941,785,362.25/277,434.50
  6. Step 6: Final answer
    x = 1,308,207.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.