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Finding the Third Proportional to 348,289.88 and 711,338.63

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Solution

The third proportional to 348,289.88 and 711,338.63 is: 1,452,820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,289.88 : 711,338.63 = 711,338.63 : x
  2. Step 2: Convert to fraction form
    348,289.88/711,338.63 = 711,338.63/x
  3. Step 3: Cross multiply
    348,289.88x = 711,338.63 × 711,338.63
  4. Step 4: Simplify right side
    348,289.88x = 506,002,639,416.89
  5. Step 5: Solve for x
    x = 506,002,639,416.89/348,289.88
  6. Step 6: Final answer
    x = 1,452,820.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.