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Finding the Third Proportional to 557,944 and 716,388

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Solution

The third proportional to 557,944 and 716,388 is: 919,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,944 : 716,388 = 716,388 : x
  2. Step 2: Convert to fraction form
    557,944/716,388 = 716,388/x
  3. Step 3: Cross multiply
    557,944x = 716,388 × 716,388
  4. Step 4: Simplify right side
    557,944x = 513,211,766,544
  5. Step 5: Solve for x
    x = 513,211,766,544/557,944
  6. Step 6: Final answer
    x = 919,826.66

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.