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Finding the Third Proportional to 213,795 and 460,730

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Solution

The third proportional to 213,795 and 460,730 is: 992,876.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,795 : 460,730 = 460,730 : x
  2. Step 2: Convert to fraction form
    213,795/460,730 = 460,730/x
  3. Step 3: Cross multiply
    213,795x = 460,730 × 460,730
  4. Step 4: Simplify right side
    213,795x = 212,272,132,900
  5. Step 5: Solve for x
    x = 212,272,132,900/213,795
  6. Step 6: Final answer
    x = 992,876.98

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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.