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Finding the Third Proportional to 630,388 and 968,904

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Solution

The third proportional to 630,388 and 968,904 is: 1,489,201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,388 : 968,904 = 968,904 : x
  2. Step 2: Convert to fraction form
    630,388/968,904 = 968,904/x
  3. Step 3: Cross multiply
    630,388x = 968,904 × 968,904
  4. Step 4: Simplify right side
    630,388x = 938,774,961,216
  5. Step 5: Solve for x
    x = 938,774,961,216/630,388
  6. Step 6: Final answer
    x = 1,489,201.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.