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Finding the Third Proportional to 349,164 and 744,120

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Solution

The third proportional to 349,164 and 744,120 is: 1,585,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,164 : 744,120 = 744,120 : x
  2. Step 2: Convert to fraction form
    349,164/744,120 = 744,120/x
  3. Step 3: Cross multiply
    349,164x = 744,120 × 744,120
  4. Step 4: Simplify right side
    349,164x = 553,714,574,400
  5. Step 5: Solve for x
    x = 553,714,574,400/349,164
  6. Step 6: Final answer
    x = 1,585,829.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.