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Finding the Third Proportional to 577,912 and 766,829

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Solution

The third proportional to 577,912 and 766,829 is: 1,017,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,912 : 766,829 = 766,829 : x
  2. Step 2: Convert to fraction form
    577,912/766,829 = 766,829/x
  3. Step 3: Cross multiply
    577,912x = 766,829 × 766,829
  4. Step 4: Simplify right side
    577,912x = 588,026,715,241
  5. Step 5: Solve for x
    x = 588,026,715,241/577,912
  6. Step 6: Final answer
    x = 1,017,502.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.