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Finding the Third Proportional to 452,503.97 and 668,196.84

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Solution

The third proportional to 452,503.97 and 668,196.84 is: 986,703.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,503.97 : 668,196.84 = 668,196.84 : x
  2. Step 2: Convert to fraction form
    452,503.97/668,196.84 = 668,196.84/x
  3. Step 3: Cross multiply
    452,503.97x = 668,196.84 × 668,196.84
  4. Step 4: Simplify right side
    452,503.97x = 446,487,021,997.46
  5. Step 5: Solve for x
    x = 446,487,021,997.46/452,503.97
  6. Step 6: Final answer
    x = 986,703.00

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.