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Finding the Third Proportional to 300,972 and 710,442

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Solution

The third proportional to 300,972 and 710,442 is: 1,676,992.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,972 : 710,442 = 710,442 : x
  2. Step 2: Convert to fraction form
    300,972/710,442 = 710,442/x
  3. Step 3: Cross multiply
    300,972x = 710,442 × 710,442
  4. Step 4: Simplify right side
    300,972x = 504,727,835,364
  5. Step 5: Solve for x
    x = 504,727,835,364/300,972
  6. Step 6: Final answer
    x = 1,676,992.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.