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Finding the Third Proportional to 608,913 and 927,732

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Solution

The third proportional to 608,913 and 927,732 is: 1,413,480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,913 : 927,732 = 927,732 : x
  2. Step 2: Convert to fraction form
    608,913/927,732 = 927,732/x
  3. Step 3: Cross multiply
    608,913x = 927,732 × 927,732
  4. Step 4: Simplify right side
    608,913x = 860,686,663,824
  5. Step 5: Solve for x
    x = 860,686,663,824/608,913
  6. Step 6: Final answer
    x = 1,413,480.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.