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Finding the Third Proportional to 410,411.81 and 877,564.13

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Solution

The third proportional to 410,411.81 and 877,564.13 is: 1,876,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,411.81 : 877,564.13 = 877,564.13 : x
  2. Step 2: Convert to fraction form
    410,411.81/877,564.13 = 877,564.13/x
  3. Step 3: Cross multiply
    410,411.81x = 877,564.13 × 877,564.13
  4. Step 4: Simplify right side
    410,411.81x = 770,118,793,487.02
  5. Step 5: Solve for x
    x = 770,118,793,487.02/410,411.81
  6. Step 6: Final answer
    x = 1,876,453.77

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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.