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Finding the Third Proportional to 336,364 and 505,963.50

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Solution

The third proportional to 336,364 and 505,963.50 is: 761,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,364 : 505,963.50 = 505,963.50 : x
  2. Step 2: Convert to fraction form
    336,364/505,963.50 = 505,963.50/x
  3. Step 3: Cross multiply
    336,364x = 505,963.50 × 505,963.50
  4. Step 4: Simplify right side
    336,364x = 255,999,063,332.25
  5. Step 5: Solve for x
    x = 255,999,063,332.25/336,364
  6. Step 6: Final answer
    x = 761,077.47

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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.