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Finding the Third Proportional to 488,284 and 731,944

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Solution

The third proportional to 488,284 and 731,944 is: 1,097,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,284 : 731,944 = 731,944 : x
  2. Step 2: Convert to fraction form
    488,284/731,944 = 731,944/x
  3. Step 3: Cross multiply
    488,284x = 731,944 × 731,944
  4. Step 4: Simplify right side
    488,284x = 535,742,019,136
  5. Step 5: Solve for x
    x = 535,742,019,136/488,284
  6. Step 6: Final answer
    x = 1,097,193.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.