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Finding the Third Proportional to 659,448 and 995,328

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Solution

The third proportional to 659,448 and 995,328 is: 1,502,283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,448 : 995,328 = 995,328 : x
  2. Step 2: Convert to fraction form
    659,448/995,328 = 995,328/x
  3. Step 3: Cross multiply
    659,448x = 995,328 × 995,328
  4. Step 4: Simplify right side
    659,448x = 990,677,827,584
  5. Step 5: Solve for x
    x = 990,677,827,584/659,448
  6. Step 6: Final answer
    x = 1,502,283.47

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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.