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Finding the Third Proportional to 416,240 and 884,312

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Solution

The third proportional to 416,240 and 884,312 is: 1,878,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,240 : 884,312 = 884,312 : x
  2. Step 2: Convert to fraction form
    416,240/884,312 = 884,312/x
  3. Step 3: Cross multiply
    416,240x = 884,312 × 884,312
  4. Step 4: Simplify right side
    416,240x = 782,007,713,344
  5. Step 5: Solve for x
    x = 782,007,713,344/416,240
  6. Step 6: Final answer
    x = 1,878,742.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.