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Finding the Third Proportional to 371,824.17 and 805,465.27

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Solution

The third proportional to 371,824.17 and 805,465.27 is: 1,744,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,824.17 : 805,465.27 = 805,465.27 : x
  2. Step 2: Convert to fraction form
    371,824.17/805,465.27 = 805,465.27/x
  3. Step 3: Cross multiply
    371,824.17x = 805,465.27 × 805,465.27
  4. Step 4: Simplify right side
    371,824.17x = 648,774,294,128.35
  5. Step 5: Solve for x
    x = 648,774,294,128.35/371,824.17
  6. Step 6: Final answer
    x = 1,744,841.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.