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Finding the Third Proportional to 323,300 and 702,553

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Solution

The third proportional to 323,300 and 702,553 is: 1,526,695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,300 : 702,553 = 702,553 : x
  2. Step 2: Convert to fraction form
    323,300/702,553 = 702,553/x
  3. Step 3: Cross multiply
    323,300x = 702,553 × 702,553
  4. Step 4: Simplify right side
    323,300x = 493,580,717,809
  5. Step 5: Solve for x
    x = 493,580,717,809/323,300
  6. Step 6: Final answer
    x = 1,526,695.69

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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.