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Finding the Third Proportional to 210,068 and 460,954

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Solution

The third proportional to 210,068 and 460,954 is: 1,011,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,068 : 460,954 = 460,954 : x
  2. Step 2: Convert to fraction form
    210,068/460,954 = 460,954/x
  3. Step 3: Cross multiply
    210,068x = 460,954 × 460,954
  4. Step 4: Simplify right side
    210,068x = 212,478,590,116
  5. Step 5: Solve for x
    x = 212,478,590,116/210,068
  6. Step 6: Final answer
    x = 1,011,475.28

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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.