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Finding the Third Proportional to 350,208 and 535,477.50

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Solution

The third proportional to 350,208 and 535,477.50 is: 818,759.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,208 : 535,477.50 = 535,477.50 : x
  2. Step 2: Convert to fraction form
    350,208/535,477.50 = 535,477.50/x
  3. Step 3: Cross multiply
    350,208x = 535,477.50 × 535,477.50
  4. Step 4: Simplify right side
    350,208x = 286,736,153,006.25
  5. Step 5: Solve for x
    x = 286,736,153,006.25/350,208
  6. Step 6: Final answer
    x = 818,759.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.