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Finding the Third Proportional to 402,808.50 and 877,518

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Solution

The third proportional to 402,808.50 and 877,518 is: 1,911,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,808.50 : 877,518 = 877,518 : x
  2. Step 2: Convert to fraction form
    402,808.50/877,518 = 877,518/x
  3. Step 3: Cross multiply
    402,808.50x = 877,518 × 877,518
  4. Step 4: Simplify right side
    402,808.50x = 770,037,840,324
  5. Step 5: Solve for x
    x = 770,037,840,324/402,808.50
  6. Step 6: Final answer
    x = 1,911,672.27

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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.