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Finding the Third Proportional to 514,754 and 775,911

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Solution

The third proportional to 514,754 and 775,911 is: 1,169,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,754 : 775,911 = 775,911 : x
  2. Step 2: Convert to fraction form
    514,754/775,911 = 775,911/x
  3. Step 3: Cross multiply
    514,754x = 775,911 × 775,911
  4. Step 4: Simplify right side
    514,754x = 602,037,879,921
  5. Step 5: Solve for x
    x = 602,037,879,921/514,754
  6. Step 6: Final answer
    x = 1,169,564.26

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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.