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Finding the Third Proportional to 512,597 and 776,550

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Solution

The third proportional to 512,597 and 776,550 is: 1,176,421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,597 : 776,550 = 776,550 : x
  2. Step 2: Convert to fraction form
    512,597/776,550 = 776,550/x
  3. Step 3: Cross multiply
    512,597x = 776,550 × 776,550
  4. Step 4: Simplify right side
    512,597x = 603,029,902,500
  5. Step 5: Solve for x
    x = 603,029,902,500/512,597
  6. Step 6: Final answer
    x = 1,176,421.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.