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Finding the Third Proportional to 286,314 and 420,705

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Solution

The third proportional to 286,314 and 420,705 is: 618,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,314 : 420,705 = 420,705 : x
  2. Step 2: Convert to fraction form
    286,314/420,705 = 420,705/x
  3. Step 3: Cross multiply
    286,314x = 420,705 × 420,705
  4. Step 4: Simplify right side
    286,314x = 176,992,697,025
  5. Step 5: Solve for x
    x = 176,992,697,025/286,314
  6. Step 6: Final answer
    x = 618,176.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.