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Finding the Third Proportional to 468,064 and 718,986

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Solution

The third proportional to 468,064 and 718,986 is: 1,104,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,064 : 718,986 = 718,986 : x
  2. Step 2: Convert to fraction form
    468,064/718,986 = 718,986/x
  3. Step 3: Cross multiply
    468,064x = 718,986 × 718,986
  4. Step 4: Simplify right side
    468,064x = 516,940,868,196
  5. Step 5: Solve for x
    x = 516,940,868,196/468,064
  6. Step 6: Final answer
    x = 1,104,423.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.