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Finding the Third Proportional to 484,373 and 746,999

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Solution

The third proportional to 484,373 and 746,999 is: 1,152,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,373 : 746,999 = 746,999 : x
  2. Step 2: Convert to fraction form
    484,373/746,999 = 746,999/x
  3. Step 3: Cross multiply
    484,373x = 746,999 × 746,999
  4. Step 4: Simplify right side
    484,373x = 558,007,506,001
  5. Step 5: Solve for x
    x = 558,007,506,001/484,373
  6. Step 6: Final answer
    x = 1,152,020.25

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