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Finding the Third Proportional to 272,352 and 586,164

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Solution

The third proportional to 272,352 and 586,164 is: 1,261,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,352 : 586,164 = 586,164 : x
  2. Step 2: Convert to fraction form
    272,352/586,164 = 586,164/x
  3. Step 3: Cross multiply
    272,352x = 586,164 × 586,164
  4. Step 4: Simplify right side
    272,352x = 343,588,234,896
  5. Step 5: Solve for x
    x = 343,588,234,896/272,352
  6. Step 6: Final answer
    x = 1,261,559.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.