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Finding the Third Proportional to 460,022 and 633,461

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Solution

The third proportional to 460,022 and 633,461 is: 872,290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,022 : 633,461 = 633,461 : x
  2. Step 2: Convert to fraction form
    460,022/633,461 = 633,461/x
  3. Step 3: Cross multiply
    460,022x = 633,461 × 633,461
  4. Step 4: Simplify right side
    460,022x = 401,272,838,521
  5. Step 5: Solve for x
    x = 401,272,838,521/460,022
  6. Step 6: Final answer
    x = 872,290.54

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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.