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Finding the Third Proportional to 201,312 and 433,536

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Solution

The third proportional to 201,312 and 433,536 is: 933,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,312 : 433,536 = 433,536 : x
  2. Step 2: Convert to fraction form
    201,312/433,536 = 433,536/x
  3. Step 3: Cross multiply
    201,312x = 433,536 × 433,536
  4. Step 4: Simplify right side
    201,312x = 187,953,463,296
  5. Step 5: Solve for x
    x = 187,953,463,296/201,312
  6. Step 6: Final answer
    x = 933,642.62

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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.