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Finding the Third Proportional to 382,276 and 607,206

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Solution

The third proportional to 382,276 and 607,206 is: 964,484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,276 : 607,206 = 607,206 : x
  2. Step 2: Convert to fraction form
    382,276/607,206 = 607,206/x
  3. Step 3: Cross multiply
    382,276x = 607,206 × 607,206
  4. Step 4: Simplify right side
    382,276x = 368,699,126,436
  5. Step 5: Solve for x
    x = 368,699,126,436/382,276
  6. Step 6: Final answer
    x = 964,484.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.