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Finding the Third Proportional to 272,047 and 592,280

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Solution

The third proportional to 272,047 and 592,280 is: 1,289,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,047 : 592,280 = 592,280 : x
  2. Step 2: Convert to fraction form
    272,047/592,280 = 592,280/x
  3. Step 3: Cross multiply
    272,047x = 592,280 × 592,280
  4. Step 4: Simplify right side
    272,047x = 350,795,598,400
  5. Step 5: Solve for x
    x = 350,795,598,400/272,047
  6. Step 6: Final answer
    x = 1,289,466.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.