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Finding the Third Proportional to 295,285.50 and 436,701.38

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Solution

The third proportional to 295,285.50 and 436,701.38 is: 645,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,285.50 : 436,701.38 = 436,701.38 : x
  2. Step 2: Convert to fraction form
    295,285.50/436,701.38 = 436,701.38/x
  3. Step 3: Cross multiply
    295,285.50x = 436,701.38 × 436,701.38
  4. Step 4: Simplify right side
    295,285.50x = 190,708,090,926.89
  5. Step 5: Solve for x
    x = 190,708,090,926.89/295,285.50
  6. Step 6: Final answer
    x = 645,843.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.