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Finding the Third Proportional to 507,999.09 and 696,605.06

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Solution

The third proportional to 507,999.09 and 696,605.06 is: 955,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,999.09 : 696,605.06 = 696,605.06 : x
  2. Step 2: Convert to fraction form
    507,999.09/696,605.06 = 696,605.06/x
  3. Step 3: Cross multiply
    507,999.09x = 696,605.06 × 696,605.06
  4. Step 4: Simplify right side
    507,999.09x = 485,258,613,100.63
  5. Step 5: Solve for x
    x = 485,258,613,100.63/507,999.09
  6. Step 6: Final answer
    x = 955,235.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.