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Finding the Third Proportional to 211,594 and 452,303

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Solution

The third proportional to 211,594 and 452,303 is: 966,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,594 : 452,303 = 452,303 : x
  2. Step 2: Convert to fraction form
    211,594/452,303 = 452,303/x
  3. Step 3: Cross multiply
    211,594x = 452,303 × 452,303
  4. Step 4: Simplify right side
    211,594x = 204,578,003,809
  5. Step 5: Solve for x
    x = 204,578,003,809/211,594
  6. Step 6: Final answer
    x = 966,842.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.