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Finding the Third Proportional to 501,008 and 882,992

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Solution

The third proportional to 501,008 and 882,992 is: 1,556,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,008 : 882,992 = 882,992 : x
  2. Step 2: Convert to fraction form
    501,008/882,992 = 882,992/x
  3. Step 3: Cross multiply
    501,008x = 882,992 × 882,992
  4. Step 4: Simplify right side
    501,008x = 779,674,872,064
  5. Step 5: Solve for x
    x = 779,674,872,064/501,008
  6. Step 6: Final answer
    x = 1,556,212.42

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.