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Finding the Third Proportional to 413,190 and 631,657.50

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Solution

The third proportional to 413,190 and 631,657.50 is: 965,636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,190 : 631,657.50 = 631,657.50 : x
  2. Step 2: Convert to fraction form
    413,190/631,657.50 = 631,657.50/x
  3. Step 3: Cross multiply
    413,190x = 631,657.50 × 631,657.50
  4. Step 4: Simplify right side
    413,190x = 398,991,197,306.25
  5. Step 5: Solve for x
    x = 398,991,197,306.25/413,190
  6. Step 6: Final answer
    x = 965,636.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.