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Finding the Third Proportional to 574,064 and 885,320

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Solution

The third proportional to 574,064 and 885,320 is: 1,365,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,064 : 885,320 = 885,320 : x
  2. Step 2: Convert to fraction form
    574,064/885,320 = 885,320/x
  3. Step 3: Cross multiply
    574,064x = 885,320 × 885,320
  4. Step 4: Simplify right side
    574,064x = 783,791,502,400
  5. Step 5: Solve for x
    x = 783,791,502,400/574,064
  6. Step 6: Final answer
    x = 1,365,338.19

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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.