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Finding the Third Proportional to 344,712 and 744,765

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Solution

The third proportional to 344,712 and 744,765 is: 1,609,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,712 : 744,765 = 744,765 : x
  2. Step 2: Convert to fraction form
    344,712/744,765 = 744,765/x
  3. Step 3: Cross multiply
    344,712x = 744,765 × 744,765
  4. Step 4: Simplify right side
    344,712x = 554,674,905,225
  5. Step 5: Solve for x
    x = 554,674,905,225/344,712
  6. Step 6: Final answer
    x = 1,609,096.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.