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Finding the Third Proportional to 364,478.63 and 513,040.50

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Solution

The third proportional to 364,478.63 and 513,040.50 is: 722,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,478.63 : 513,040.50 = 513,040.50 : x
  2. Step 2: Convert to fraction form
    364,478.63/513,040.50 = 513,040.50/x
  3. Step 3: Cross multiply
    364,478.63x = 513,040.50 × 513,040.50
  4. Step 4: Simplify right side
    364,478.63x = 263,210,554,640.25
  5. Step 5: Solve for x
    x = 263,210,554,640.25/364,478.63
  6. Step 6: Final answer
    x = 722,156.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.