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Finding the Third Proportional to 412,765 and 570,347

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Solution

The third proportional to 412,765 and 570,347 is: 788,089.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,765 : 570,347 = 570,347 : x
  2. Step 2: Convert to fraction form
    412,765/570,347 = 570,347/x
  3. Step 3: Cross multiply
    412,765x = 570,347 × 570,347
  4. Step 4: Simplify right side
    412,765x = 325,295,700,409
  5. Step 5: Solve for x
    x = 325,295,700,409/412,765
  6. Step 6: Final answer
    x = 788,089.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.