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Finding the Third Proportional to 210,530 and 460,433

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Solution

The third proportional to 210,530 and 460,433 is: 1,006,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,530 : 460,433 = 460,433 : x
  2. Step 2: Convert to fraction form
    210,530/460,433 = 460,433/x
  3. Step 3: Cross multiply
    210,530x = 460,433 × 460,433
  4. Step 4: Simplify right side
    210,530x = 211,998,547,489
  5. Step 5: Solve for x
    x = 211,998,547,489/210,530
  6. Step 6: Final answer
    x = 1,006,975.48

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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.