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Finding the Third Proportional to 410,670 and 614,334

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Solution

The third proportional to 410,670 and 614,334 is: 919,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,670 : 614,334 = 614,334 : x
  2. Step 2: Convert to fraction form
    410,670/614,334 = 614,334/x
  3. Step 3: Cross multiply
    410,670x = 614,334 × 614,334
  4. Step 4: Simplify right side
    410,670x = 377,406,263,556
  5. Step 5: Solve for x
    x = 377,406,263,556/410,670
  6. Step 6: Final answer
    x = 919,001.30

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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.