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Finding the Third Proportional to 357,796 and 484,206

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Solution

The third proportional to 357,796 and 484,206 is: 655,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,796 : 484,206 = 484,206 : x
  2. Step 2: Convert to fraction form
    357,796/484,206 = 484,206/x
  3. Step 3: Cross multiply
    357,796x = 484,206 × 484,206
  4. Step 4: Simplify right side
    357,796x = 234,455,450,436
  5. Step 5: Solve for x
    x = 234,455,450,436/357,796
  6. Step 6: Final answer
    x = 655,276.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.