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Finding the Third Proportional to 358,533 and 780,273

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Solution

The third proportional to 358,533 and 780,273 is: 1,698,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,533 : 780,273 = 780,273 : x
  2. Step 2: Convert to fraction form
    358,533/780,273 = 780,273/x
  3. Step 3: Cross multiply
    358,533x = 780,273 × 780,273
  4. Step 4: Simplify right side
    358,533x = 608,825,954,529
  5. Step 5: Solve for x
    x = 608,825,954,529/358,533
  6. Step 6: Final answer
    x = 1,698,102.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.