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Finding the Third Proportional to 466,970 and 684,958

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Solution

The third proportional to 466,970 and 684,958 is: 1,004,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,970 : 684,958 = 684,958 : x
  2. Step 2: Convert to fraction form
    466,970/684,958 = 684,958/x
  3. Step 3: Cross multiply
    466,970x = 684,958 × 684,958
  4. Step 4: Simplify right side
    466,970x = 469,167,461,764
  5. Step 5: Solve for x
    x = 469,167,461,764/466,970
  6. Step 6: Final answer
    x = 1,004,705.79

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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.