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Finding the Third Proportional to 631,468 and 965,998

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Solution

The third proportional to 631,468 and 965,998 is: 1,477,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,468 : 965,998 = 965,998 : x
  2. Step 2: Convert to fraction form
    631,468/965,998 = 965,998/x
  3. Step 3: Cross multiply
    631,468x = 965,998 × 965,998
  4. Step 4: Simplify right side
    631,468x = 933,152,136,004
  5. Step 5: Solve for x
    x = 933,152,136,004/631,468
  6. Step 6: Final answer
    x = 1,477,750.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.