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Finding the Third Proportional to 612,760 and 882,564

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Solution

The third proportional to 612,760 and 882,564 is: 1,271,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,760 : 882,564 = 882,564 : x
  2. Step 2: Convert to fraction form
    612,760/882,564 = 882,564/x
  3. Step 3: Cross multiply
    612,760x = 882,564 × 882,564
  4. Step 4: Simplify right side
    612,760x = 778,919,214,096
  5. Step 5: Solve for x
    x = 778,919,214,096/612,760
  6. Step 6: Final answer
    x = 1,271,165.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.