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Finding the Third Proportional to 371,382 and 546,514

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Solution

The third proportional to 371,382 and 546,514 is: 804,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,382 : 546,514 = 546,514 : x
  2. Step 2: Convert to fraction form
    371,382/546,514 = 546,514/x
  3. Step 3: Cross multiply
    371,382x = 546,514 × 546,514
  4. Step 4: Simplify right side
    371,382x = 298,677,552,196
  5. Step 5: Solve for x
    x = 298,677,552,196/371,382
  6. Step 6: Final answer
    x = 804,232.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.