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Finding the Third Proportional to 574,056 and 885,308

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Solution

The third proportional to 574,056 and 885,308 is: 1,365,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,056 : 885,308 = 885,308 : x
  2. Step 2: Convert to fraction form
    574,056/885,308 = 885,308/x
  3. Step 3: Cross multiply
    574,056x = 885,308 × 885,308
  4. Step 4: Simplify right side
    574,056x = 783,770,254,864
  5. Step 5: Solve for x
    x = 783,770,254,864/574,056
  6. Step 6: Final answer
    x = 1,365,320.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.