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Finding the Third Proportional to 452,304 and 699,710

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Solution

The third proportional to 452,304 and 699,710 is: 1,082,444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,304 : 699,710 = 699,710 : x
  2. Step 2: Convert to fraction form
    452,304/699,710 = 699,710/x
  3. Step 3: Cross multiply
    452,304x = 699,710 × 699,710
  4. Step 4: Simplify right side
    452,304x = 489,594,084,100
  5. Step 5: Solve for x
    x = 489,594,084,100/452,304
  6. Step 6: Final answer
    x = 1,082,444.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.