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Finding the Third Proportional to 346,581 and 744,732

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Solution

The third proportional to 346,581 and 744,732 is: 1,600,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,581 : 744,732 = 744,732 : x
  2. Step 2: Convert to fraction form
    346,581/744,732 = 744,732/x
  3. Step 3: Cross multiply
    346,581x = 744,732 × 744,732
  4. Step 4: Simplify right side
    346,581x = 554,625,751,824
  5. Step 5: Solve for x
    x = 554,625,751,824/346,581
  6. Step 6: Final answer
    x = 1,600,277.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.