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Finding the Third Proportional to 314,126 and 500,321

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Solution

The third proportional to 314,126 and 500,321 is: 796,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,126 : 500,321 = 500,321 : x
  2. Step 2: Convert to fraction form
    314,126/500,321 = 500,321/x
  3. Step 3: Cross multiply
    314,126x = 500,321 × 500,321
  4. Step 4: Simplify right side
    314,126x = 250,321,103,041
  5. Step 5: Solve for x
    x = 250,321,103,041/314,126
  6. Step 6: Final answer
    x = 796,881.20

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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.