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Finding the Third Proportional to 291,196.50 and 596,508

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Solution

The third proportional to 291,196.50 and 596,508 is: 1,221,930.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,196.50 : 596,508 = 596,508 : x
  2. Step 2: Convert to fraction form
    291,196.50/596,508 = 596,508/x
  3. Step 3: Cross multiply
    291,196.50x = 596,508 × 596,508
  4. Step 4: Simplify right side
    291,196.50x = 355,821,794,064
  5. Step 5: Solve for x
    x = 355,821,794,064/291,196.50
  6. Step 6: Final answer
    x = 1,221,930.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.