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Finding the Third Proportional to 333,582 and 503,259

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Solution

The third proportional to 333,582 and 503,259 is: 759,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,582 : 503,259 = 503,259 : x
  2. Step 2: Convert to fraction form
    333,582/503,259 = 503,259/x
  3. Step 3: Cross multiply
    333,582x = 503,259 × 503,259
  4. Step 4: Simplify right side
    333,582x = 253,269,621,081
  5. Step 5: Solve for x
    x = 253,269,621,081/333,582
  6. Step 6: Final answer
    x = 759,242.47

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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.