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Finding the Third Proportional to 382,294 and 607,341

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Solution

The third proportional to 382,294 and 607,341 is: 964,867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,294 : 607,341 = 607,341 : x
  2. Step 2: Convert to fraction form
    382,294/607,341 = 607,341/x
  3. Step 3: Cross multiply
    382,294x = 607,341 × 607,341
  4. Step 4: Simplify right side
    382,294x = 368,863,090,281
  5. Step 5: Solve for x
    x = 368,863,090,281/382,294
  6. Step 6: Final answer
    x = 964,867.59

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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.