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Finding the Third Proportional to 402,811.50 and 877,524

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Solution

The third proportional to 402,811.50 and 877,524 is: 1,911,684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,811.50 : 877,524 = 877,524 : x
  2. Step 2: Convert to fraction form
    402,811.50/877,524 = 877,524/x
  3. Step 3: Cross multiply
    402,811.50x = 877,524 × 877,524
  4. Step 4: Simplify right side
    402,811.50x = 770,048,370,576
  5. Step 5: Solve for x
    x = 770,048,370,576/402,811.50
  6. Step 6: Final answer
    x = 1,911,684.18

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Why These Related Problems?

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