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Finding the Third Proportional to 567,441 and 857,934

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Solution

The third proportional to 567,441 and 857,934 is: 1,297,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,441 : 857,934 = 857,934 : x
  2. Step 2: Convert to fraction form
    567,441/857,934 = 857,934/x
  3. Step 3: Cross multiply
    567,441x = 857,934 × 857,934
  4. Step 4: Simplify right side
    567,441x = 736,050,748,356
  5. Step 5: Solve for x
    x = 736,050,748,356/567,441
  6. Step 6: Final answer
    x = 1,297,140.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.