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Finding the Third Proportional to 341,678.25 and 750,312

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Solution

The third proportional to 341,678.25 and 750,312 is: 1,647,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,678.25 : 750,312 = 750,312 : x
  2. Step 2: Convert to fraction form
    341,678.25/750,312 = 750,312/x
  3. Step 3: Cross multiply
    341,678.25x = 750,312 × 750,312
  4. Step 4: Simplify right side
    341,678.25x = 562,968,097,344
  5. Step 5: Solve for x
    x = 562,968,097,344/341,678.25
  6. Step 6: Final answer
    x = 1,647,655.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.