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Finding the Third Proportional to 365,040 and 488,302.50

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Solution

The third proportional to 365,040 and 488,302.50 is: 653,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,040 : 488,302.50 = 488,302.50 : x
  2. Step 2: Convert to fraction form
    365,040/488,302.50 = 488,302.50/x
  3. Step 3: Cross multiply
    365,040x = 488,302.50 × 488,302.50
  4. Step 4: Simplify right side
    365,040x = 238,439,331,506.25
  5. Step 5: Solve for x
    x = 238,439,331,506.25/365,040
  6. Step 6: Final answer
    x = 653,186.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.