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Finding the Third Proportional to 277,526.25 and 597,152.25

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Solution

The third proportional to 277,526.25 and 597,152.25 is: 1,284,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,526.25 : 597,152.25 = 597,152.25 : x
  2. Step 2: Convert to fraction form
    277,526.25/597,152.25 = 597,152.25/x
  3. Step 3: Cross multiply
    277,526.25x = 597,152.25 × 597,152.25
  4. Step 4: Simplify right side
    277,526.25x = 356,590,809,680.06
  5. Step 5: Solve for x
    x = 356,590,809,680.06/277,526.25
  6. Step 6: Final answer
    x = 1,284,890.38

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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.