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Finding the Third Proportional to 328,365 and 536,125.50

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Solution

The third proportional to 328,365 and 536,125.50 is: 875,338.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,365 : 536,125.50 = 536,125.50 : x
  2. Step 2: Convert to fraction form
    328,365/536,125.50 = 536,125.50/x
  3. Step 3: Cross multiply
    328,365x = 536,125.50 × 536,125.50
  4. Step 4: Simplify right side
    328,365x = 287,430,551,750.25
  5. Step 5: Solve for x
    x = 287,430,551,750.25/328,365
  6. Step 6: Final answer
    x = 875,338.58

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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.