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Finding the Third Proportional to 230,672 and 499,252

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Solution

The third proportional to 230,672 and 499,252 is: 1,080,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,672 : 499,252 = 499,252 : x
  2. Step 2: Convert to fraction form
    230,672/499,252 = 499,252/x
  3. Step 3: Cross multiply
    230,672x = 499,252 × 499,252
  4. Step 4: Simplify right side
    230,672x = 249,252,559,504
  5. Step 5: Solve for x
    x = 249,252,559,504/230,672
  6. Step 6: Final answer
    x = 1,080,549.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.