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Finding the Third Proportional to 211,312 and 432,346

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Solution

The third proportional to 211,312 and 432,346 is: 884,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,312 : 432,346 = 432,346 : x
  2. Step 2: Convert to fraction form
    211,312/432,346 = 432,346/x
  3. Step 3: Cross multiply
    211,312x = 432,346 × 432,346
  4. Step 4: Simplify right side
    211,312x = 186,923,063,716
  5. Step 5: Solve for x
    x = 186,923,063,716/211,312
  6. Step 6: Final answer
    x = 884,583.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.