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Finding the Third Proportional to 324,517 and 710,209

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Solution

The third proportional to 324,517 and 710,209 is: 1,554,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,517 : 710,209 = 710,209 : x
  2. Step 2: Convert to fraction form
    324,517/710,209 = 710,209/x
  3. Step 3: Cross multiply
    324,517x = 710,209 × 710,209
  4. Step 4: Simplify right side
    324,517x = 504,396,823,681
  5. Step 5: Solve for x
    x = 504,396,823,681/324,517
  6. Step 6: Final answer
    x = 1,554,300.16

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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.