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Finding the Third Proportional to 352,599 and 761,304

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Solution

The third proportional to 352,599 and 761,304 is: 1,643,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,599 : 761,304 = 761,304 : x
  2. Step 2: Convert to fraction form
    352,599/761,304 = 761,304/x
  3. Step 3: Cross multiply
    352,599x = 761,304 × 761,304
  4. Step 4: Simplify right side
    352,599x = 579,583,780,416
  5. Step 5: Solve for x
    x = 579,583,780,416/352,599
  6. Step 6: Final answer
    x = 1,643,747.66

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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.