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Finding the Third Proportional to 345,213 and 754,983

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Solution

The third proportional to 345,213 and 754,983 is: 1,651,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,213 : 754,983 = 754,983 : x
  2. Step 2: Convert to fraction form
    345,213/754,983 = 754,983/x
  3. Step 3: Cross multiply
    345,213x = 754,983 × 754,983
  4. Step 4: Simplify right side
    345,213x = 569,999,330,289
  5. Step 5: Solve for x
    x = 569,999,330,289/345,213
  6. Step 6: Final answer
    x = 1,651,152.56

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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.