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Finding the Third Proportional to 310,922.75 and 659,210.75

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Solution

The third proportional to 310,922.75 and 659,210.75 is: 1,397,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,922.75 : 659,210.75 = 659,210.75 : x
  2. Step 2: Convert to fraction form
    310,922.75/659,210.75 = 659,210.75/x
  3. Step 3: Cross multiply
    310,922.75x = 659,210.75 × 659,210.75
  4. Step 4: Simplify right side
    310,922.75x = 434,558,812,915.56
  5. Step 5: Solve for x
    x = 434,558,812,915.56/310,922.75
  6. Step 6: Final answer
    x = 1,397,642.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.