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Finding the Third Proportional to 323,308 and 702,577

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Solution

The third proportional to 323,308 and 702,577 is: 1,526,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,308 : 702,577 = 702,577 : x
  2. Step 2: Convert to fraction form
    323,308/702,577 = 702,577/x
  3. Step 3: Cross multiply
    323,308x = 702,577 × 702,577
  4. Step 4: Simplify right side
    323,308x = 493,614,440,929
  5. Step 5: Solve for x
    x = 493,614,440,929/323,308
  6. Step 6: Final answer
    x = 1,526,762.22

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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.