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Finding the Third Proportional to 214,506 and 498,717

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Solution

The third proportional to 214,506 and 498,717 is: 1,159,495.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,506 : 498,717 = 498,717 : x
  2. Step 2: Convert to fraction form
    214,506/498,717 = 498,717/x
  3. Step 3: Cross multiply
    214,506x = 498,717 × 498,717
  4. Step 4: Simplify right side
    214,506x = 248,718,646,089
  5. Step 5: Solve for x
    x = 248,718,646,089/214,506
  6. Step 6: Final answer
    x = 1,159,495.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.