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Finding the Third Proportional to 291,196 and 596,506

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Solution

The third proportional to 291,196 and 596,506 is: 1,221,924.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,196 : 596,506 = 596,506 : x
  2. Step 2: Convert to fraction form
    291,196/596,506 = 596,506/x
  3. Step 3: Cross multiply
    291,196x = 596,506 × 596,506
  4. Step 4: Simplify right side
    291,196x = 355,819,408,036
  5. Step 5: Solve for x
    x = 355,819,408,036/291,196
  6. Step 6: Final answer
    x = 1,221,924.09

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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.