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Finding the Third Proportional to 210,894 and 455,511

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Solution

The third proportional to 210,894 and 455,511 is: 983,860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,894 : 455,511 = 455,511 : x
  2. Step 2: Convert to fraction form
    210,894/455,511 = 455,511/x
  3. Step 3: Cross multiply
    210,894x = 455,511 × 455,511
  4. Step 4: Simplify right side
    210,894x = 207,490,271,121
  5. Step 5: Solve for x
    x = 207,490,271,121/210,894
  6. Step 6: Final answer
    x = 983,860.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.