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Finding the Third Proportional to 350,509 and 525,166.50

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Solution

The third proportional to 350,509 and 525,166.50 is: 786,855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,509 : 525,166.50 = 525,166.50 : x
  2. Step 2: Convert to fraction form
    350,509/525,166.50 = 525,166.50/x
  3. Step 3: Cross multiply
    350,509x = 525,166.50 × 525,166.50
  4. Step 4: Simplify right side
    350,509x = 275,799,852,722.25
  5. Step 5: Solve for x
    x = 275,799,852,722.25/350,509
  6. Step 6: Final answer
    x = 786,855.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.