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Finding the Third Proportional to 330,596 and 716,128

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Solution

The third proportional to 330,596 and 716,128 is: 1,551,256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,596 : 716,128 = 716,128 : x
  2. Step 2: Convert to fraction form
    330,596/716,128 = 716,128/x
  3. Step 3: Cross multiply
    330,596x = 716,128 × 716,128
  4. Step 4: Simplify right side
    330,596x = 512,839,312,384
  5. Step 5: Solve for x
    x = 512,839,312,384/330,596
  6. Step 6: Final answer
    x = 1,551,256.86

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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.