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Finding the Third Proportional to 314,566 and 500,345

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Solution

The third proportional to 314,566 and 500,345 is: 795,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,566 : 500,345 = 500,345 : x
  2. Step 2: Convert to fraction form
    314,566/500,345 = 500,345/x
  3. Step 3: Cross multiply
    314,566x = 500,345 × 500,345
  4. Step 4: Simplify right side
    314,566x = 250,345,119,025
  5. Step 5: Solve for x
    x = 250,345,119,025/314,566
  6. Step 6: Final answer
    x = 795,842.90

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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.