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Finding the Third Proportional to 265,661 and 573,304

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Solution

The third proportional to 265,661 and 573,304 is: 1,237,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,661 : 573,304 = 573,304 : x
  2. Step 2: Convert to fraction form
    265,661/573,304 = 573,304/x
  3. Step 3: Cross multiply
    265,661x = 573,304 × 573,304
  4. Step 4: Simplify right side
    265,661x = 328,677,476,416
  5. Step 5: Solve for x
    x = 328,677,476,416/265,661
  6. Step 6: Final answer
    x = 1,237,206.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.