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Finding the Third Proportional to 324,508.88 and 710,192.63

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Solution

The third proportional to 324,508.88 and 710,192.63 is: 1,554,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,508.88 : 710,192.63 = 710,192.63 : x
  2. Step 2: Convert to fraction form
    324,508.88/710,192.63 = 710,192.63/x
  3. Step 3: Cross multiply
    324,508.88x = 710,192.63 × 710,192.63
  4. Step 4: Simplify right side
    324,508.88x = 504,373,564,604.39
  5. Step 5: Solve for x
    x = 504,373,564,604.39/324,508.88
  6. Step 6: Final answer
    x = 1,554,267.40

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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.