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Finding the Third Proportional to 402,853.50 and 877,635

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Solution

The third proportional to 402,853.50 and 877,635 is: 1,911,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,853.50 : 877,635 = 877,635 : x
  2. Step 2: Convert to fraction form
    402,853.50/877,635 = 877,635/x
  3. Step 3: Cross multiply
    402,853.50x = 877,635 × 877,635
  4. Step 4: Simplify right side
    402,853.50x = 770,243,193,225
  5. Step 5: Solve for x
    x = 770,243,193,225/402,853.50
  6. Step 6: Final answer
    x = 1,911,968.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.