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Finding the Third Proportional to 229,482 and 497,088

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Solution

The third proportional to 229,482 and 497,088 is: 1,076,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,482 : 497,088 = 497,088 : x
  2. Step 2: Convert to fraction form
    229,482/497,088 = 497,088/x
  3. Step 3: Cross multiply
    229,482x = 497,088 × 497,088
  4. Step 4: Simplify right side
    229,482x = 247,096,479,744
  5. Step 5: Solve for x
    x = 247,096,479,744/229,482
  6. Step 6: Final answer
    x = 1,076,757.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.