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Finding the Third Proportional to 586,024 and 890,272

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Solution

The third proportional to 586,024 and 890,272 is: 1,352,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,024 : 890,272 = 890,272 : x
  2. Step 2: Convert to fraction form
    586,024/890,272 = 890,272/x
  3. Step 3: Cross multiply
    586,024x = 890,272 × 890,272
  4. Step 4: Simplify right side
    586,024x = 792,584,233,984
  5. Step 5: Solve for x
    x = 792,584,233,984/586,024
  6. Step 6: Final answer
    x = 1,352,477.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.