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Finding the Third Proportional to 346,326 and 520,506

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Solution

The third proportional to 346,326 and 520,506 is: 782,287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,326 : 520,506 = 520,506 : x
  2. Step 2: Convert to fraction form
    346,326/520,506 = 520,506/x
  3. Step 3: Cross multiply
    346,326x = 520,506 × 520,506
  4. Step 4: Simplify right side
    346,326x = 270,926,496,036
  5. Step 5: Solve for x
    x = 270,926,496,036/346,326
  6. Step 6: Final answer
    x = 782,287.49

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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.