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Finding the Third Proportional to 291,426 and 463,395

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Solution

The third proportional to 291,426 and 463,395 is: 736,842.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,426 : 463,395 = 463,395 : x
  2. Step 2: Convert to fraction form
    291,426/463,395 = 463,395/x
  3. Step 3: Cross multiply
    291,426x = 463,395 × 463,395
  4. Step 4: Simplify right side
    291,426x = 214,734,926,025
  5. Step 5: Solve for x
    x = 214,734,926,025/291,426
  6. Step 6: Final answer
    x = 736,842.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.