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Finding the Third Proportional to 323,528 and 702,946

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Solution

The third proportional to 323,528 and 702,946 is: 1,527,327.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,528 : 702,946 = 702,946 : x
  2. Step 2: Convert to fraction form
    323,528/702,946 = 702,946/x
  3. Step 3: Cross multiply
    323,528x = 702,946 × 702,946
  4. Step 4: Simplify right side
    323,528x = 494,133,078,916
  5. Step 5: Solve for x
    x = 494,133,078,916/323,528
  6. Step 6: Final answer
    x = 1,527,327.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.