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Finding the Third Proportional to 590,970 and 886,272

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Solution

The third proportional to 590,970 and 886,272 is: 1,329,133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,970 : 886,272 = 886,272 : x
  2. Step 2: Convert to fraction form
    590,970/886,272 = 886,272/x
  3. Step 3: Cross multiply
    590,970x = 886,272 × 886,272
  4. Step 4: Simplify right side
    590,970x = 785,478,057,984
  5. Step 5: Solve for x
    x = 785,478,057,984/590,970
  6. Step 6: Final answer
    x = 1,329,133.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.