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Finding the Third Proportional to 314,120 and 500,312

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Solution

The third proportional to 314,120 and 500,312 is: 796,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,120 : 500,312 = 500,312 : x
  2. Step 2: Convert to fraction form
    314,120/500,312 = 500,312/x
  3. Step 3: Cross multiply
    314,120x = 500,312 × 500,312
  4. Step 4: Simplify right side
    314,120x = 250,312,097,344
  5. Step 5: Solve for x
    x = 250,312,097,344/314,120
  6. Step 6: Final answer
    x = 796,867.75

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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.