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Finding the Third Proportional to 210,362 and 461,548

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Solution

The third proportional to 210,362 and 461,548 is: 1,012,666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,362 : 461,548 = 461,548 : x
  2. Step 2: Convert to fraction form
    210,362/461,548 = 461,548/x
  3. Step 3: Cross multiply
    210,362x = 461,548 × 461,548
  4. Step 4: Simplify right side
    210,362x = 213,026,556,304
  5. Step 5: Solve for x
    x = 213,026,556,304/210,362
  6. Step 6: Final answer
    x = 1,012,666.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.