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Finding the Third Proportional to 489,996 and 734,998

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Solution

The third proportional to 489,996 and 734,998 is: 1,102,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,996 : 734,998 = 734,998 : x
  2. Step 2: Convert to fraction form
    489,996/734,998 = 734,998/x
  3. Step 3: Cross multiply
    489,996x = 734,998 × 734,998
  4. Step 4: Simplify right side
    489,996x = 540,222,060,004
  5. Step 5: Solve for x
    x = 540,222,060,004/489,996
  6. Step 6: Final answer
    x = 1,102,503.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.