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Finding the Third Proportional to 305,272.50 and 448,762.13

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Solution

The third proportional to 305,272.50 and 448,762.13 is: 659,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,272.50 : 448,762.13 = 448,762.13 : x
  2. Step 2: Convert to fraction form
    305,272.50/448,762.13 = 448,762.13/x
  3. Step 3: Cross multiply
    305,272.50x = 448,762.13 × 448,762.13
  4. Step 4: Simplify right side
    305,272.50x = 201,387,444,834.52
  5. Step 5: Solve for x
    x = 201,387,444,834.52/305,272.50
  6. Step 6: Final answer
    x = 659,697.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.