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Finding the Third Proportional to 210,894 and 497,823

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Solution

The third proportional to 210,894 and 497,823 is: 1,175,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,894 : 497,823 = 497,823 : x
  2. Step 2: Convert to fraction form
    210,894/497,823 = 497,823/x
  3. Step 3: Cross multiply
    210,894x = 497,823 × 497,823
  4. Step 4: Simplify right side
    210,894x = 247,827,739,329
  5. Step 5: Solve for x
    x = 247,827,739,329/210,894
  6. Step 6: Final answer
    x = 1,175,129.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.