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Finding the Third Proportional to 469,006 and 727,167

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Solution

The third proportional to 469,006 and 727,167 is: 1,127,430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,006 : 727,167 = 727,167 : x
  2. Step 2: Convert to fraction form
    469,006/727,167 = 727,167/x
  3. Step 3: Cross multiply
    469,006x = 727,167 × 727,167
  4. Step 4: Simplify right side
    469,006x = 528,771,845,889
  5. Step 5: Solve for x
    x = 528,771,845,889/469,006
  6. Step 6: Final answer
    x = 1,127,430.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.