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Finding the Third Proportional to 333,014.63 and 502,518.94

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Solution

The third proportional to 333,014.63 and 502,518.94 is: 758,300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,014.63 : 502,518.94 = 502,518.94 : x
  2. Step 2: Convert to fraction form
    333,014.63/502,518.94 = 502,518.94/x
  3. Step 3: Cross multiply
    333,014.63x = 502,518.94 × 502,518.94
  4. Step 4: Simplify right side
    333,014.63x = 252,525,282,546.13
  5. Step 5: Solve for x
    x = 252,525,282,546.13/333,014.63
  6. Step 6: Final answer
    x = 758,300.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.