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Finding the Third Proportional to 344,548 and 730,010

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Solution

The third proportional to 344,548 and 730,010 is: 1,546,706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,548 : 730,010 = 730,010 : x
  2. Step 2: Convert to fraction form
    344,548/730,010 = 730,010/x
  3. Step 3: Cross multiply
    344,548x = 730,010 × 730,010
  4. Step 4: Simplify right side
    344,548x = 532,914,600,100
  5. Step 5: Solve for x
    x = 532,914,600,100/344,548
  6. Step 6: Final answer
    x = 1,546,706.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.