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Finding the Third Proportional to 558,512 and 884,788

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Solution

The third proportional to 558,512 and 884,788 is: 1,401,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,512 : 884,788 = 884,788 : x
  2. Step 2: Convert to fraction form
    558,512/884,788 = 884,788/x
  3. Step 3: Cross multiply
    558,512x = 884,788 × 884,788
  4. Step 4: Simplify right side
    558,512x = 782,849,804,944
  5. Step 5: Solve for x
    x = 782,849,804,944/558,512
  6. Step 6: Final answer
    x = 1,401,670.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.