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Finding the Third Proportional to 286,640 and 596,807

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Solution

The third proportional to 286,640 and 596,807 is: 1,242,599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,640 : 596,807 = 596,807 : x
  2. Step 2: Convert to fraction form
    286,640/596,807 = 596,807/x
  3. Step 3: Cross multiply
    286,640x = 596,807 × 596,807
  4. Step 4: Simplify right side
    286,640x = 356,178,595,249
  5. Step 5: Solve for x
    x = 356,178,595,249/286,640
  6. Step 6: Final answer
    x = 1,242,599.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.