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Finding the Third Proportional to 497,730 and 768,599

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Solution

The third proportional to 497,730 and 768,599 is: 1,186,877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,730 : 768,599 = 768,599 : x
  2. Step 2: Convert to fraction form
    497,730/768,599 = 768,599/x
  3. Step 3: Cross multiply
    497,730x = 768,599 × 768,599
  4. Step 4: Simplify right side
    497,730x = 590,744,422,801
  5. Step 5: Solve for x
    x = 590,744,422,801/497,730
  6. Step 6: Final answer
    x = 1,186,877.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.