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Finding the Third Proportional to 324,605 and 708,946

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Solution

The third proportional to 324,605 and 708,946 is: 1,548,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,605 : 708,946 = 708,946 : x
  2. Step 2: Convert to fraction form
    324,605/708,946 = 708,946/x
  3. Step 3: Cross multiply
    324,605x = 708,946 × 708,946
  4. Step 4: Simplify right side
    324,605x = 502,604,430,916
  5. Step 5: Solve for x
    x = 502,604,430,916/324,605
  6. Step 6: Final answer
    x = 1,548,357.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.