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Finding the Third Proportional to 317,204 and 714,258

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Solution

The third proportional to 317,204 and 714,258 is: 1,608,316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,204 : 714,258 = 714,258 : x
  2. Step 2: Convert to fraction form
    317,204/714,258 = 714,258/x
  3. Step 3: Cross multiply
    317,204x = 714,258 × 714,258
  4. Step 4: Simplify right side
    317,204x = 510,164,490,564
  5. Step 5: Solve for x
    x = 510,164,490,564/317,204
  6. Step 6: Final answer
    x = 1,608,316.70

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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.