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Finding the Third Proportional to 577,911 and 767,034

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Solution

The third proportional to 577,911 and 767,034 is: 1,018,048.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,911 : 767,034 = 767,034 : x
  2. Step 2: Convert to fraction form
    577,911/767,034 = 767,034/x
  3. Step 3: Cross multiply
    577,911x = 767,034 × 767,034
  4. Step 4: Simplify right side
    577,911x = 588,341,157,156
  5. Step 5: Solve for x
    x = 588,341,157,156/577,911
  6. Step 6: Final answer
    x = 1,018,048.03

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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.