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Finding the Third Proportional to 307,584.84 and 662,316.75

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Solution

The third proportional to 307,584.84 and 662,316.75 is: 1,426,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,584.84 : 662,316.75 = 662,316.75 : x
  2. Step 2: Convert to fraction form
    307,584.84/662,316.75 = 662,316.75/x
  3. Step 3: Cross multiply
    307,584.84x = 662,316.75 × 662,316.75
  4. Step 4: Simplify right side
    307,584.84x = 438,663,477,330.56
  5. Step 5: Solve for x
    x = 438,663,477,330.56/307,584.84
  6. Step 6: Final answer
    x = 1,426,154.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.