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Finding the Third Proportional to 210,021.75 and 460,869.75

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Solution

The third proportional to 210,021.75 and 460,869.75 is: 1,011,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,021.75 : 460,869.75 = 460,869.75 : x
  2. Step 2: Convert to fraction form
    210,021.75/460,869.75 = 460,869.75/x
  3. Step 3: Cross multiply
    210,021.75x = 460,869.75 × 460,869.75
  4. Step 4: Simplify right side
    210,021.75x = 212,400,926,465.06
  5. Step 5: Solve for x
    x = 212,400,926,465.06/210,021.75
  6. Step 6: Final answer
    x = 1,011,328.24

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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.