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Finding the Third Proportional to 321,706.50 and 696,369

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Solution

The third proportional to 321,706.50 and 696,369 is: 1,507,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,706.50 : 696,369 = 696,369 : x
  2. Step 2: Convert to fraction form
    321,706.50/696,369 = 696,369/x
  3. Step 3: Cross multiply
    321,706.50x = 696,369 × 696,369
  4. Step 4: Simplify right side
    321,706.50x = 484,929,784,161
  5. Step 5: Solve for x
    x = 484,929,784,161/321,706.50
  6. Step 6: Final answer
    x = 1,507,367.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.