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Finding the Third Proportional to 317,286 and 691,380

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Solution

The third proportional to 317,286 and 691,380 is: 1,506,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,286 : 691,380 = 691,380 : x
  2. Step 2: Convert to fraction form
    317,286/691,380 = 691,380/x
  3. Step 3: Cross multiply
    317,286x = 691,380 × 691,380
  4. Step 4: Simplify right side
    317,286x = 478,006,304,400
  5. Step 5: Solve for x
    x = 478,006,304,400/317,286
  6. Step 6: Final answer
    x = 1,506,547.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.