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Finding the Third Proportional to 334,094 and 728,487

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Solution

The third proportional to 334,094 and 728,487 is: 1,588,455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,094 : 728,487 = 728,487 : x
  2. Step 2: Convert to fraction form
    334,094/728,487 = 728,487/x
  3. Step 3: Cross multiply
    334,094x = 728,487 × 728,487
  4. Step 4: Simplify right side
    334,094x = 530,693,309,169
  5. Step 5: Solve for x
    x = 530,693,309,169/334,094
  6. Step 6: Final answer
    x = 1,588,455.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.