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Finding the Third Proportional to 213,488 and 459,964

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Solution

The third proportional to 213,488 and 459,964 is: 991,001.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,488 : 459,964 = 459,964 : x
  2. Step 2: Convert to fraction form
    213,488/459,964 = 459,964/x
  3. Step 3: Cross multiply
    213,488x = 459,964 × 459,964
  4. Step 4: Simplify right side
    213,488x = 211,566,881,296
  5. Step 5: Solve for x
    x = 211,566,881,296/213,488
  6. Step 6: Final answer
    x = 991,001.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.