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Finding the Third Proportional to 277,323.75 and 590,402.67

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Solution

The third proportional to 277,323.75 and 590,402.67 is: 1,256,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,323.75 : 590,402.67 = 590,402.67 : x
  2. Step 2: Convert to fraction form
    277,323.75/590,402.67 = 590,402.67/x
  3. Step 3: Cross multiply
    277,323.75x = 590,402.67 × 590,402.67
  4. Step 4: Simplify right side
    277,323.75x = 348,575,314,957.14
  5. Step 5: Solve for x
    x = 348,575,314,957.14/277,323.75
  6. Step 6: Final answer
    x = 1,256,925.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.