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Finding the Third Proportional to 320,641 and 507,699

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Solution

The third proportional to 320,641 and 507,699 is: 803,884.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,641 : 507,699 = 507,699 : x
  2. Step 2: Convert to fraction form
    320,641/507,699 = 507,699/x
  3. Step 3: Cross multiply
    320,641x = 507,699 × 507,699
  4. Step 4: Simplify right side
    320,641x = 257,758,274,601
  5. Step 5: Solve for x
    x = 257,758,274,601/320,641
  6. Step 6: Final answer
    x = 803,884.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.