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Finding the Third Proportional to 323,643 and 704,094

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Solution

The third proportional to 323,643 and 704,094 is: 1,531,775.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,643 : 704,094 = 704,094 : x
  2. Step 2: Convert to fraction form
    323,643/704,094 = 704,094/x
  3. Step 3: Cross multiply
    323,643x = 704,094 × 704,094
  4. Step 4: Simplify right side
    323,643x = 495,748,360,836
  5. Step 5: Solve for x
    x = 495,748,360,836/323,643
  6. Step 6: Final answer
    x = 1,531,775.32

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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.