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Finding the Third Proportional to 504,135 and 771,572

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Solution

The third proportional to 504,135 and 771,572 is: 1,180,880.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,135 : 771,572 = 771,572 : x
  2. Step 2: Convert to fraction form
    504,135/771,572 = 771,572/x
  3. Step 3: Cross multiply
    504,135x = 771,572 × 771,572
  4. Step 4: Simplify right side
    504,135x = 595,323,351,184
  5. Step 5: Solve for x
    x = 595,323,351,184/504,135
  6. Step 6: Final answer
    x = 1,180,880.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.