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Finding the Third Proportional to 389,706 and 584,613

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Solution

The third proportional to 389,706 and 584,613 is: 877,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,706 : 584,613 = 584,613 : x
  2. Step 2: Convert to fraction form
    389,706/584,613 = 584,613/x
  3. Step 3: Cross multiply
    389,706x = 584,613 × 584,613
  4. Step 4: Simplify right side
    389,706x = 341,772,359,769
  5. Step 5: Solve for x
    x = 341,772,359,769/389,706
  6. Step 6: Final answer
    x = 877,000.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.