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Finding the Third Proportional to 514,752 and 775,908

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Solution

The third proportional to 514,752 and 775,908 is: 1,169,559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,752 : 775,908 = 775,908 : x
  2. Step 2: Convert to fraction form
    514,752/775,908 = 775,908/x
  3. Step 3: Cross multiply
    514,752x = 775,908 × 775,908
  4. Step 4: Simplify right side
    514,752x = 602,033,224,464
  5. Step 5: Solve for x
    x = 602,033,224,464/514,752
  6. Step 6: Final answer
    x = 1,169,559.76

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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.