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Finding the Third Proportional to 365,352 and 536,220

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Solution

The third proportional to 365,352 and 536,220 is: 786,999.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,352 : 536,220 = 536,220 : x
  2. Step 2: Convert to fraction form
    365,352/536,220 = 536,220/x
  3. Step 3: Cross multiply
    365,352x = 536,220 × 536,220
  4. Step 4: Simplify right side
    365,352x = 287,531,888,400
  5. Step 5: Solve for x
    x = 287,531,888,400/365,352
  6. Step 6: Final answer
    x = 786,999.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.