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Finding the Third Proportional to 210,735 and 456,462

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Solution

The third proportional to 210,735 and 456,462 is: 988,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,735 : 456,462 = 456,462 : x
  2. Step 2: Convert to fraction form
    210,735/456,462 = 456,462/x
  3. Step 3: Cross multiply
    210,735x = 456,462 × 456,462
  4. Step 4: Simplify right side
    210,735x = 208,357,557,444
  5. Step 5: Solve for x
    x = 208,357,557,444/210,735
  6. Step 6: Final answer
    x = 988,718.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.