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Finding the Third Proportional to 210,896.44 and 455,477.06

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Solution

The third proportional to 210,896.44 and 455,477.06 is: 983,702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,896.44 : 455,477.06 = 455,477.06 : x
  2. Step 2: Convert to fraction form
    210,896.44/455,477.06 = 455,477.06/x
  3. Step 3: Cross multiply
    210,896.44x = 455,477.06 × 455,477.06
  4. Step 4: Simplify right side
    210,896.44x = 207,459,354,463.63
  5. Step 5: Solve for x
    x = 207,459,354,463.63/210,896.44
  6. Step 6: Final answer
    x = 983,702.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.