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Finding the Third Proportional to 286,970.63 and 414,838.13

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Solution

The third proportional to 286,970.63 and 414,838.13 is: 599,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,970.63 : 414,838.13 = 414,838.13 : x
  2. Step 2: Convert to fraction form
    286,970.63/414,838.13 = 414,838.13/x
  3. Step 3: Cross multiply
    286,970.63x = 414,838.13 × 414,838.13
  4. Step 4: Simplify right side
    286,970.63x = 172,090,669,953.52
  5. Step 5: Solve for x
    x = 172,090,669,953.52/286,970.63
  6. Step 6: Final answer
    x = 599,680.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.