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Finding the Third Proportional to 302,610 and 424,098

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Solution

The third proportional to 302,610 and 424,098 is: 594,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,610 : 424,098 = 424,098 : x
  2. Step 2: Convert to fraction form
    302,610/424,098 = 424,098/x
  3. Step 3: Cross multiply
    302,610x = 424,098 × 424,098
  4. Step 4: Simplify right side
    302,610x = 179,859,113,604
  5. Step 5: Solve for x
    x = 179,859,113,604/302,610
  6. Step 6: Final answer
    x = 594,359.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.