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Finding the Third Proportional to 210,898 and 497,833

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Solution

The third proportional to 210,898 and 497,833 is: 1,175,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,898 : 497,833 = 497,833 : x
  2. Step 2: Convert to fraction form
    210,898/497,833 = 497,833/x
  3. Step 3: Cross multiply
    210,898x = 497,833 × 497,833
  4. Step 4: Simplify right side
    210,898x = 247,837,695,889
  5. Step 5: Solve for x
    x = 247,837,695,889/210,898
  6. Step 6: Final answer
    x = 1,175,154.32

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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.