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Finding the Third Proportional to 210,563 and 460,486

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Solution

The third proportional to 210,563 and 460,486 is: 1,007,049.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,563 : 460,486 = 460,486 : x
  2. Step 2: Convert to fraction form
    210,563/460,486 = 460,486/x
  3. Step 3: Cross multiply
    210,563x = 460,486 × 460,486
  4. Step 4: Simplify right side
    210,563x = 212,047,356,196
  5. Step 5: Solve for x
    x = 212,047,356,196/210,563
  6. Step 6: Final answer
    x = 1,007,049.46

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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.