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Finding the Third Proportional to 417,276.56 and 893,602.13

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Solution

The third proportional to 417,276.56 and 893,602.13 is: 1,913,658.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,276.56 : 893,602.13 = 893,602.13 : x
  2. Step 2: Convert to fraction form
    417,276.56/893,602.13 = 893,602.13/x
  3. Step 3: Cross multiply
    417,276.56x = 893,602.13 × 893,602.13
  4. Step 4: Simplify right side
    417,276.56x = 798,524,757,804.52
  5. Step 5: Solve for x
    x = 798,524,757,804.52/417,276.56
  6. Step 6: Final answer
    x = 1,913,658.30

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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.