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Finding the Third Proportional to 285,024 and 615,732

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Solution

The third proportional to 285,024 and 615,732 is: 1,330,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,024 : 615,732 = 615,732 : x
  2. Step 2: Convert to fraction form
    285,024/615,732 = 615,732/x
  3. Step 3: Cross multiply
    285,024x = 615,732 × 615,732
  4. Step 4: Simplify right side
    285,024x = 379,125,895,824
  5. Step 5: Solve for x
    x = 379,125,895,824/285,024
  6. Step 6: Final answer
    x = 1,330,154.29

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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.