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Finding the Third Proportional to 603,580 and 905,443

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Solution

The third proportional to 603,580 and 905,443 is: 1,358,274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,580 : 905,443 = 905,443 : x
  2. Step 2: Convert to fraction form
    603,580/905,443 = 905,443/x
  3. Step 3: Cross multiply
    603,580x = 905,443 × 905,443
  4. Step 4: Simplify right side
    603,580x = 819,827,026,249
  5. Step 5: Solve for x
    x = 819,827,026,249/603,580
  6. Step 6: Final answer
    x = 1,358,274.01

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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.