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Finding the Third Proportional to 601,263 and 882,174

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Solution

The third proportional to 601,263 and 882,174 is: 1,294,327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,263 : 882,174 = 882,174 : x
  2. Step 2: Convert to fraction form
    601,263/882,174 = 882,174/x
  3. Step 3: Cross multiply
    601,263x = 882,174 × 882,174
  4. Step 4: Simplify right side
    601,263x = 778,230,966,276
  5. Step 5: Solve for x
    x = 778,230,966,276/601,263
  6. Step 6: Final answer
    x = 1,294,327.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.