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Finding the Third Proportional to 289,232 and 627,124.50

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Solution

The third proportional to 289,232 and 627,124.50 is: 1,359,756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,232 : 627,124.50 = 627,124.50 : x
  2. Step 2: Convert to fraction form
    289,232/627,124.50 = 627,124.50/x
  3. Step 3: Cross multiply
    289,232x = 627,124.50 × 627,124.50
  4. Step 4: Simplify right side
    289,232x = 393,285,138,500.25
  5. Step 5: Solve for x
    x = 393,285,138,500.25/289,232
  6. Step 6: Final answer
    x = 1,359,756.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.