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Finding the Third Proportional to 517,378 and 772,880

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Solution

The third proportional to 517,378 and 772,880 is: 1,154,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,378 : 772,880 = 772,880 : x
  2. Step 2: Convert to fraction form
    517,378/772,880 = 772,880/x
  3. Step 3: Cross multiply
    517,378x = 772,880 × 772,880
  4. Step 4: Simplify right side
    517,378x = 597,343,494,400
  5. Step 5: Solve for x
    x = 597,343,494,400/517,378
  6. Step 6: Final answer
    x = 1,154,559.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.