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Finding the Third Proportional to 352,695 and 546,294

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Solution

The third proportional to 352,695 and 546,294 is: 846,162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,695 : 546,294 = 546,294 : x
  2. Step 2: Convert to fraction form
    352,695/546,294 = 546,294/x
  3. Step 3: Cross multiply
    352,695x = 546,294 × 546,294
  4. Step 4: Simplify right side
    352,695x = 298,437,134,436
  5. Step 5: Solve for x
    x = 298,437,134,436/352,695
  6. Step 6: Final answer
    x = 846,162.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.