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Finding the Third Proportional to 452,094.75 and 683,968.50

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Solution

The third proportional to 452,094.75 and 683,968.50 is: 1,034,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,094.75 : 683,968.50 = 683,968.50 : x
  2. Step 2: Convert to fraction form
    452,094.75/683,968.50 = 683,968.50/x
  3. Step 3: Cross multiply
    452,094.75x = 683,968.50 × 683,968.50
  4. Step 4: Simplify right side
    452,094.75x = 467,812,908,992.25
  5. Step 5: Solve for x
    x = 467,812,908,992.25/452,094.75
  6. Step 6: Final answer
    x = 1,034,767.40

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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.