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Finding the Third Proportional to 478,412 and 740,771

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Solution

The third proportional to 478,412 and 740,771 is: 1,147,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,412 : 740,771 = 740,771 : x
  2. Step 2: Convert to fraction form
    478,412/740,771 = 740,771/x
  3. Step 3: Cross multiply
    478,412x = 740,771 × 740,771
  4. Step 4: Simplify right side
    478,412x = 548,741,674,441
  5. Step 5: Solve for x
    x = 548,741,674,441/478,412
  6. Step 6: Final answer
    x = 1,147,006.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.