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Finding the Third Proportional to 317,206 and 714,263

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Solution

The third proportional to 317,206 and 714,263 is: 1,608,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,206 : 714,263 = 714,263 : x
  2. Step 2: Convert to fraction form
    317,206/714,263 = 714,263/x
  3. Step 3: Cross multiply
    317,206x = 714,263 × 714,263
  4. Step 4: Simplify right side
    317,206x = 510,171,633,169
  5. Step 5: Solve for x
    x = 510,171,633,169/317,206
  6. Step 6: Final answer
    x = 1,608,329.08

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.