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Finding the Third Proportional to 361,740.75 and 773,310

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Solution

The third proportional to 361,740.75 and 773,310 is: 1,653,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,740.75 : 773,310 = 773,310 : x
  2. Step 2: Convert to fraction form
    361,740.75/773,310 = 773,310/x
  3. Step 3: Cross multiply
    361,740.75x = 773,310 × 773,310
  4. Step 4: Simplify right side
    361,740.75x = 598,008,356,100
  5. Step 5: Solve for x
    x = 598,008,356,100/361,740.75
  6. Step 6: Final answer
    x = 1,653,140.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.