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Finding the Third Proportional to 210,442.63 and 460,251.25

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Solution

The third proportional to 210,442.63 and 460,251.25 is: 1,006,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,442.63 : 460,251.25 = 460,251.25 : x
  2. Step 2: Convert to fraction form
    210,442.63/460,251.25 = 460,251.25/x
  3. Step 3: Cross multiply
    210,442.63x = 460,251.25 × 460,251.25
  4. Step 4: Simplify right side
    210,442.63x = 211,831,213,126.56
  5. Step 5: Solve for x
    x = 211,831,213,126.56/210,442.63
  6. Step 6: Final answer
    x = 1,006,598.42

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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.