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Finding the Third Proportional to 377,460 and 579,294

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Solution

The third proportional to 377,460 and 579,294 is: 889,051.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,460 : 579,294 = 579,294 : x
  2. Step 2: Convert to fraction form
    377,460/579,294 = 579,294/x
  3. Step 3: Cross multiply
    377,460x = 579,294 × 579,294
  4. Step 4: Simplify right side
    377,460x = 335,581,538,436
  5. Step 5: Solve for x
    x = 335,581,538,436/377,460
  6. Step 6: Final answer
    x = 889,051.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.