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Finding the Third Proportional to 323,547 and 702,982

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Solution

The third proportional to 323,547 and 702,982 is: 1,527,393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,547 : 702,982 = 702,982 : x
  2. Step 2: Convert to fraction form
    323,547/702,982 = 702,982/x
  3. Step 3: Cross multiply
    323,547x = 702,982 × 702,982
  4. Step 4: Simplify right side
    323,547x = 494,183,692,324
  5. Step 5: Solve for x
    x = 494,183,692,324/323,547
  6. Step 6: Final answer
    x = 1,527,393.83

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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.