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Finding the Third Proportional to 296,196 and 446,908.50

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Solution

The third proportional to 296,196 and 446,908.50 is: 674,307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,196 : 446,908.50 = 446,908.50 : x
  2. Step 2: Convert to fraction form
    296,196/446,908.50 = 446,908.50/x
  3. Step 3: Cross multiply
    296,196x = 446,908.50 × 446,908.50
  4. Step 4: Simplify right side
    296,196x = 199,727,207,372.25
  5. Step 5: Solve for x
    x = 199,727,207,372.25/296,196
  6. Step 6: Final answer
    x = 674,307.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.