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Finding the Third Proportional to 341,864 and 748,176

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Solution

The third proportional to 341,864 and 748,176 is: 1,637,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,864 : 748,176 = 748,176 : x
  2. Step 2: Convert to fraction form
    341,864/748,176 = 748,176/x
  3. Step 3: Cross multiply
    341,864x = 748,176 × 748,176
  4. Step 4: Simplify right side
    341,864x = 559,767,326,976
  5. Step 5: Solve for x
    x = 559,767,326,976/341,864
  6. Step 6: Final answer
    x = 1,637,397.70

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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.