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Finding the Third Proportional to 330,724 and 716,360

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Solution

The third proportional to 330,724 and 716,360 is: 1,551,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,724 : 716,360 = 716,360 : x
  2. Step 2: Convert to fraction form
    330,724/716,360 = 716,360/x
  3. Step 3: Cross multiply
    330,724x = 716,360 × 716,360
  4. Step 4: Simplify right side
    330,724x = 513,171,649,600
  5. Step 5: Solve for x
    x = 513,171,649,600/330,724
  6. Step 6: Final answer
    x = 1,551,661.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.