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Finding the Third Proportional to 597,079.13 and 893,431.13

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Solution

The third proportional to 597,079.13 and 893,431.13 is: 1,336,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,079.13 : 893,431.13 = 893,431.13 : x
  2. Step 2: Convert to fraction form
    597,079.13/893,431.13 = 893,431.13/x
  3. Step 3: Cross multiply
    597,079.13x = 893,431.13 × 893,431.13
  4. Step 4: Simplify right side
    597,079.13x = 798,219,175,118.77
  5. Step 5: Solve for x
    x = 798,219,175,118.77/597,079.13
  6. Step 6: Final answer
    x = 1,336,873.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.