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Finding the Third Proportional to 355,218 and 761,100

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Solution

The third proportional to 355,218 and 761,100 is: 1,630,754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,218 : 761,100 = 761,100 : x
  2. Step 2: Convert to fraction form
    355,218/761,100 = 761,100/x
  3. Step 3: Cross multiply
    355,218x = 761,100 × 761,100
  4. Step 4: Simplify right side
    355,218x = 579,273,210,000
  5. Step 5: Solve for x
    x = 579,273,210,000/355,218
  6. Step 6: Final answer
    x = 1,630,754.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.