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Finding the Third Proportional to 216,362 and 472,090

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Solution

The third proportional to 216,362 and 472,090 is: 1,030,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,362 : 472,090 = 472,090 : x
  2. Step 2: Convert to fraction form
    216,362/472,090 = 472,090/x
  3. Step 3: Cross multiply
    216,362x = 472,090 × 472,090
  4. Step 4: Simplify right side
    216,362x = 222,868,968,100
  5. Step 5: Solve for x
    x = 222,868,968,100/216,362
  6. Step 6: Final answer
    x = 1,030,074.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.