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Finding the Third Proportional to 288,918 and 623,520

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Solution

The third proportional to 288,918 and 623,520 is: 1,345,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,918 : 623,520 = 623,520 : x
  2. Step 2: Convert to fraction form
    288,918/623,520 = 623,520/x
  3. Step 3: Cross multiply
    288,918x = 623,520 × 623,520
  4. Step 4: Simplify right side
    288,918x = 388,777,190,400
  5. Step 5: Solve for x
    x = 388,777,190,400/288,918
  6. Step 6: Final answer
    x = 1,345,631.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.