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Finding the Third Proportional to 210,561 and 460,482

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Solution

The third proportional to 210,561 and 460,482 is: 1,007,041.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,561 : 460,482 = 460,482 : x
  2. Step 2: Convert to fraction form
    210,561/460,482 = 460,482/x
  3. Step 3: Cross multiply
    210,561x = 460,482 × 460,482
  4. Step 4: Simplify right side
    210,561x = 212,043,672,324
  5. Step 5: Solve for x
    x = 212,043,672,324/210,561
  6. Step 6: Final answer
    x = 1,007,041.53

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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.