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Finding the Third Proportional to 392,569 and 832,294

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Solution

The third proportional to 392,569 and 832,294 is: 1,764,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,569 : 832,294 = 832,294 : x
  2. Step 2: Convert to fraction form
    392,569/832,294 = 832,294/x
  3. Step 3: Cross multiply
    392,569x = 832,294 × 832,294
  4. Step 4: Simplify right side
    392,569x = 692,713,302,436
  5. Step 5: Solve for x
    x = 692,713,302,436/392,569
  6. Step 6: Final answer
    x = 1,764,564.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.