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Finding the Third Proportional to 658,296 and 882,468

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Solution

The third proportional to 658,296 and 882,468 is: 1,182,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,296 : 882,468 = 882,468 : x
  2. Step 2: Convert to fraction form
    658,296/882,468 = 882,468/x
  3. Step 3: Cross multiply
    658,296x = 882,468 × 882,468
  4. Step 4: Simplify right side
    658,296x = 778,749,771,024
  5. Step 5: Solve for x
    x = 778,749,771,024/658,296
  6. Step 6: Final answer
    x = 1,182,978.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.