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Finding the Third Proportional to 328,308 and 536,040

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Solution

The third proportional to 328,308 and 536,040 is: 875,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,308 : 536,040 = 536,040 : x
  2. Step 2: Convert to fraction form
    328,308/536,040 = 536,040/x
  3. Step 3: Cross multiply
    328,308x = 536,040 × 536,040
  4. Step 4: Simplify right side
    328,308x = 287,338,881,600
  5. Step 5: Solve for x
    x = 287,338,881,600/328,308
  6. Step 6: Final answer
    x = 875,211.33

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.