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Finding the Third Proportional to 202,464 and 438,312

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Solution

The third proportional to 202,464 and 438,312 is: 948,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,464 : 438,312 = 438,312 : x
  2. Step 2: Convert to fraction form
    202,464/438,312 = 438,312/x
  3. Step 3: Cross multiply
    202,464x = 438,312 × 438,312
  4. Step 4: Simplify right side
    202,464x = 192,117,409,344
  5. Step 5: Solve for x
    x = 192,117,409,344/202,464
  6. Step 6: Final answer
    x = 948,896.64

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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.