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Finding the Third Proportional to 567,904 and 846,933

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Solution

The third proportional to 567,904 and 846,933 is: 1,263,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,904 : 846,933 = 846,933 : x
  2. Step 2: Convert to fraction form
    567,904/846,933 = 846,933/x
  3. Step 3: Cross multiply
    567,904x = 846,933 × 846,933
  4. Step 4: Simplify right side
    567,904x = 717,295,506,489
  5. Step 5: Solve for x
    x = 717,295,506,489/567,904
  6. Step 6: Final answer
    x = 1,263,057.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.