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Finding the Third Proportional to 468,124 and 706,328

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Solution

The third proportional to 468,124 and 706,328 is: 1,065,741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,124 : 706,328 = 706,328 : x
  2. Step 2: Convert to fraction form
    468,124/706,328 = 706,328/x
  3. Step 3: Cross multiply
    468,124x = 706,328 × 706,328
  4. Step 4: Simplify right side
    468,124x = 498,899,243,584
  5. Step 5: Solve for x
    x = 498,899,243,584/468,124
  6. Step 6: Final answer
    x = 1,065,741.65

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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.