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Finding the Third Proportional to 478,604.25 and 740,984.63

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Solution

The third proportional to 478,604.25 and 740,984.63 is: 1,147,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,604.25 : 740,984.63 = 740,984.63 : x
  2. Step 2: Convert to fraction form
    478,604.25/740,984.63 = 740,984.63/x
  3. Step 3: Cross multiply
    478,604.25x = 740,984.63 × 740,984.63
  4. Step 4: Simplify right side
    478,604.25x = 549,058,214,486.39
  5. Step 5: Solve for x
    x = 549,058,214,486.39/478,604.25
  6. Step 6: Final answer
    x = 1,147,207.14

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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.