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Finding the Third Proportional to 468,837 and 700,167

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Solution

The third proportional to 468,837 and 700,167 is: 1,045,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,837 : 700,167 = 700,167 : x
  2. Step 2: Convert to fraction form
    468,837/700,167 = 700,167/x
  3. Step 3: Cross multiply
    468,837x = 700,167 × 700,167
  4. Step 4: Simplify right side
    468,837x = 490,233,827,889
  5. Step 5: Solve for x
    x = 490,233,827,889/468,837
  6. Step 6: Final answer
    x = 1,045,638.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.