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Finding the Third Proportional to 460,020 and 633,458

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Solution

The third proportional to 460,020 and 633,458 is: 872,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,020 : 633,458 = 633,458 : x
  2. Step 2: Convert to fraction form
    460,020/633,458 = 633,458/x
  3. Step 3: Cross multiply
    460,020x = 633,458 × 633,458
  4. Step 4: Simplify right side
    460,020x = 401,269,037,764
  5. Step 5: Solve for x
    x = 401,269,037,764/460,020
  6. Step 6: Final answer
    x = 872,286.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.