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Finding the Third Proportional to 318,560 and 684,346

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Solution

The third proportional to 318,560 and 684,346 is: 1,470,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,560 : 684,346 = 684,346 : x
  2. Step 2: Convert to fraction form
    318,560/684,346 = 684,346/x
  3. Step 3: Cross multiply
    318,560x = 684,346 × 684,346
  4. Step 4: Simplify right side
    318,560x = 468,329,447,716
  5. Step 5: Solve for x
    x = 468,329,447,716/318,560
  6. Step 6: Final answer
    x = 1,470,145.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.