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Finding the Third Proportional to 452,575.13 and 683,475.75

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Solution

The third proportional to 452,575.13 and 683,475.75 is: 1,032,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,575.13 : 683,475.75 = 683,475.75 : x
  2. Step 2: Convert to fraction form
    452,575.13/683,475.75 = 683,475.75/x
  3. Step 3: Cross multiply
    452,575.13x = 683,475.75 × 683,475.75
  4. Step 4: Simplify right side
    452,575.13x = 467,139,100,838.06
  5. Step 5: Solve for x
    x = 467,139,100,838.06/452,575.13
  6. Step 6: Final answer
    x = 1,032,180.24

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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.