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Finding the Third Proportional to 210,653 and 460,715

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Solution

The third proportional to 210,653 and 460,715 is: 1,007,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,653 : 460,715 = 460,715 : x
  2. Step 2: Convert to fraction form
    210,653/460,715 = 460,715/x
  3. Step 3: Cross multiply
    210,653x = 460,715 × 460,715
  4. Step 4: Simplify right side
    210,653x = 212,258,311,225
  5. Step 5: Solve for x
    x = 212,258,311,225/210,653
  6. Step 6: Final answer
    x = 1,007,620.64

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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.