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Finding the Third Proportional to 351,023 and 684,550

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Solution

The third proportional to 351,023 and 684,550 is: 1,334,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,023 : 684,550 = 684,550 : x
  2. Step 2: Convert to fraction form
    351,023/684,550 = 684,550/x
  3. Step 3: Cross multiply
    351,023x = 684,550 × 684,550
  4. Step 4: Simplify right side
    351,023x = 468,608,702,500
  5. Step 5: Solve for x
    x = 468,608,702,500/351,023
  6. Step 6: Final answer
    x = 1,334,980.05

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.