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Finding the Third Proportional to 367,630 and 577,688

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Solution

The third proportional to 367,630 and 577,688 is: 907,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,630 : 577,688 = 577,688 : x
  2. Step 2: Convert to fraction form
    367,630/577,688 = 577,688/x
  3. Step 3: Cross multiply
    367,630x = 577,688 × 577,688
  4. Step 4: Simplify right side
    367,630x = 333,723,425,344
  5. Step 5: Solve for x
    x = 333,723,425,344/367,630
  6. Step 6: Final answer
    x = 907,769.84

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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.