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Finding the Third Proportional to 465,532 and 711,794

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Solution

The third proportional to 465,532 and 711,794 is: 1,088,326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,532 : 711,794 = 711,794 : x
  2. Step 2: Convert to fraction form
    465,532/711,794 = 711,794/x
  3. Step 3: Cross multiply
    465,532x = 711,794 × 711,794
  4. Step 4: Simplify right side
    465,532x = 506,650,698,436
  5. Step 5: Solve for x
    x = 506,650,698,436/465,532
  6. Step 6: Final answer
    x = 1,088,326.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.