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Finding the Third Proportional to 569,664 and 885,600

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Solution

The third proportional to 569,664 and 885,600 is: 1,376,754.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,664 : 885,600 = 885,600 : x
  2. Step 2: Convert to fraction form
    569,664/885,600 = 885,600/x
  3. Step 3: Cross multiply
    569,664x = 885,600 × 885,600
  4. Step 4: Simplify right side
    569,664x = 784,287,360,000
  5. Step 5: Solve for x
    x = 784,287,360,000/569,664
  6. Step 6: Final answer
    x = 1,376,754.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.