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Finding the Third Proportional to 210,028 and 460,883

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Solution

The third proportional to 210,028 and 460,883 is: 1,011,356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,028 : 460,883 = 460,883 : x
  2. Step 2: Convert to fraction form
    210,028/460,883 = 460,883/x
  3. Step 3: Cross multiply
    210,028x = 460,883 × 460,883
  4. Step 4: Simplify right side
    210,028x = 212,413,139,689
  5. Step 5: Solve for x
    x = 212,413,139,689/210,028
  6. Step 6: Final answer
    x = 1,011,356.29

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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.