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Finding the Third Proportional to 324,668 and 711,602

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Solution

The third proportional to 324,668 and 711,602 is: 1,559,677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,668 : 711,602 = 711,602 : x
  2. Step 2: Convert to fraction form
    324,668/711,602 = 711,602/x
  3. Step 3: Cross multiply
    324,668x = 711,602 × 711,602
  4. Step 4: Simplify right side
    324,668x = 506,377,406,404
  5. Step 5: Solve for x
    x = 506,377,406,404/324,668
  6. Step 6: Final answer
    x = 1,559,677.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.