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Finding the Third Proportional to 402,588.98 and 877,515.40

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Solution

The third proportional to 402,588.98 and 877,515.40 is: 1,912,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,588.98 : 877,515.40 = 877,515.40 : x
  2. Step 2: Convert to fraction form
    402,588.98/877,515.40 = 877,515.40/x
  3. Step 3: Cross multiply
    402,588.98x = 877,515.40 × 877,515.40
  4. Step 4: Simplify right side
    402,588.98x = 770,033,274,494.92
  5. Step 5: Solve for x
    x = 770,033,274,494.92/402,588.98
  6. Step 6: Final answer
    x = 1,912,703.29

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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.