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Finding the Third Proportional to 210,730 and 456,452

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Solution

The third proportional to 210,730 and 456,452 is: 988,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,730 : 456,452 = 456,452 : x
  2. Step 2: Convert to fraction form
    210,730/456,452 = 456,452/x
  3. Step 3: Cross multiply
    210,730x = 456,452 × 456,452
  4. Step 4: Simplify right side
    210,730x = 208,348,428,304
  5. Step 5: Solve for x
    x = 208,348,428,304/210,730
  6. Step 6: Final answer
    x = 988,698.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.