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Finding the Third Proportional to 415,620 and 594,306

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Solution

The third proportional to 415,620 and 594,306 is: 849,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,620 : 594,306 = 594,306 : x
  2. Step 2: Convert to fraction form
    415,620/594,306 = 594,306/x
  3. Step 3: Cross multiply
    415,620x = 594,306 × 594,306
  4. Step 4: Simplify right side
    415,620x = 353,199,621,636
  5. Step 5: Solve for x
    x = 353,199,621,636/415,620
  6. Step 6: Final answer
    x = 849,813.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.