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Finding the Third Proportional to 364,578 and 570,760

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Solution

The third proportional to 364,578 and 570,760 is: 893,545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,578 : 570,760 = 570,760 : x
  2. Step 2: Convert to fraction form
    364,578/570,760 = 570,760/x
  3. Step 3: Cross multiply
    364,578x = 570,760 × 570,760
  4. Step 4: Simplify right side
    364,578x = 325,766,977,600
  5. Step 5: Solve for x
    x = 325,766,977,600/364,578
  6. Step 6: Final answer
    x = 893,545.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.