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Finding the Third Proportional to 410,613.75 and 877,973.63

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Solution

The third proportional to 410,613.75 and 877,973.63 is: 1,877,281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,613.75 : 877,973.63 = 877,973.63 : x
  2. Step 2: Convert to fraction form
    410,613.75/877,973.63 = 877,973.63/x
  3. Step 3: Cross multiply
    410,613.75x = 877,973.63 × 877,973.63
  4. Step 4: Simplify right side
    410,613.75x = 770,837,686,195.64
  5. Step 5: Solve for x
    x = 770,837,686,195.64/410,613.75
  6. Step 6: Final answer
    x = 1,877,281.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.