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Finding the Third Proportional to 494,823.50 and 818,871

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Solution

The third proportional to 494,823.50 and 818,871 is: 1,355,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,823.50 : 818,871 = 818,871 : x
  2. Step 2: Convert to fraction form
    494,823.50/818,871 = 818,871/x
  3. Step 3: Cross multiply
    494,823.50x = 818,871 × 818,871
  4. Step 4: Simplify right side
    494,823.50x = 670,549,714,641
  5. Step 5: Solve for x
    x = 670,549,714,641/494,823.50
  6. Step 6: Final answer
    x = 1,355,129.08

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.