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Finding the Third Proportional to 349,266.50 and 763,913

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Solution

The third proportional to 349,266.50 and 763,913 is: 1,670,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,266.50 : 763,913 = 763,913 : x
  2. Step 2: Convert to fraction form
    349,266.50/763,913 = 763,913/x
  3. Step 3: Cross multiply
    349,266.50x = 763,913 × 763,913
  4. Step 4: Simplify right side
    349,266.50x = 583,563,071,569
  5. Step 5: Solve for x
    x = 583,563,071,569/349,266.50
  6. Step 6: Final answer
    x = 1,670,824.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.