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Finding the Third Proportional to 411,530.63 and 898,472.25

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Solution

The third proportional to 411,530.63 and 898,472.25 is: 1,961,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,530.63 : 898,472.25 = 898,472.25 : x
  2. Step 2: Convert to fraction form
    411,530.63/898,472.25 = 898,472.25/x
  3. Step 3: Cross multiply
    411,530.63x = 898,472.25 × 898,472.25
  4. Step 4: Simplify right side
    411,530.63x = 807,252,384,020.06
  5. Step 5: Solve for x
    x = 807,252,384,020.06/411,530.63
  6. Step 6: Final answer
    x = 1,961,585.20

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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.