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Finding the Third Proportional to 235,425 and 483,363

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Solution

The third proportional to 235,425 and 483,363 is: 992,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,425 : 483,363 = 483,363 : x
  2. Step 2: Convert to fraction form
    235,425/483,363 = 483,363/x
  3. Step 3: Cross multiply
    235,425x = 483,363 × 483,363
  4. Step 4: Simplify right side
    235,425x = 233,639,789,769
  5. Step 5: Solve for x
    x = 233,639,789,769/235,425
  6. Step 6: Final answer
    x = 992,417.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.