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Finding the Third Proportional to 348,289.50 and 711,337

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Solution

The third proportional to 348,289.50 and 711,337 is: 1,452,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,289.50 : 711,337 = 711,337 : x
  2. Step 2: Convert to fraction form
    348,289.50/711,337 = 711,337/x
  3. Step 3: Cross multiply
    348,289.50x = 711,337 × 711,337
  4. Step 4: Simplify right side
    348,289.50x = 506,000,327,569
  5. Step 5: Solve for x
    x = 506,000,327,569/348,289.50
  6. Step 6: Final answer
    x = 1,452,815.34

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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.