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Finding the Third Proportional to 364,566 and 570,743

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Solution

The third proportional to 364,566 and 570,743 is: 893,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,566 : 570,743 = 570,743 : x
  2. Step 2: Convert to fraction form
    364,566/570,743 = 570,743/x
  3. Step 3: Cross multiply
    364,566x = 570,743 × 570,743
  4. Step 4: Simplify right side
    364,566x = 325,747,572,049
  5. Step 5: Solve for x
    x = 325,747,572,049/364,566
  6. Step 6: Final answer
    x = 893,521.54

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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.