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Finding the Third Proportional to 465,008 and 718,248

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Solution

The third proportional to 465,008 and 718,248 is: 1,109,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,008 : 718,248 = 718,248 : x
  2. Step 2: Convert to fraction form
    465,008/718,248 = 718,248/x
  3. Step 3: Cross multiply
    465,008x = 718,248 × 718,248
  4. Step 4: Simplify right side
    465,008x = 515,880,189,504
  5. Step 5: Solve for x
    x = 515,880,189,504/465,008
  6. Step 6: Final answer
    x = 1,109,400.68

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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.