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Finding the Third Proportional to 417,415.78 and 849,409.03

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Solution

The third proportional to 417,415.78 and 849,409.03 is: 1,728,482.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,415.78 : 849,409.03 = 849,409.03 : x
  2. Step 2: Convert to fraction form
    417,415.78/849,409.03 = 849,409.03/x
  3. Step 3: Cross multiply
    417,415.78x = 849,409.03 × 849,409.03
  4. Step 4: Simplify right side
    417,415.78x = 721,495,702,369.06
  5. Step 5: Solve for x
    x = 721,495,702,369.06/417,415.78
  6. Step 6: Final answer
    x = 1,728,482.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.