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Finding the Third Proportional to 302,980 and 652,472

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Solution

The third proportional to 302,980 and 652,472 is: 1,405,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,980 : 652,472 = 652,472 : x
  2. Step 2: Convert to fraction form
    302,980/652,472 = 652,472/x
  3. Step 3: Cross multiply
    302,980x = 652,472 × 652,472
  4. Step 4: Simplify right side
    302,980x = 425,719,710,784
  5. Step 5: Solve for x
    x = 425,719,710,784/302,980
  6. Step 6: Final answer
    x = 1,405,108.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.