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Finding the Third Proportional to 290,125 and 443,528

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Solution

The third proportional to 290,125 and 443,528 is: 678,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,125 : 443,528 = 443,528 : x
  2. Step 2: Convert to fraction form
    290,125/443,528 = 443,528/x
  3. Step 3: Cross multiply
    290,125x = 443,528 × 443,528
  4. Step 4: Simplify right side
    290,125x = 196,717,086,784
  5. Step 5: Solve for x
    x = 196,717,086,784/290,125
  6. Step 6: Final answer
    x = 678,042.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.