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Finding the Third Proportional to 508,773 and 805,443

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Solution

The third proportional to 508,773 and 805,443 is: 1,275,103.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,773 : 805,443 = 805,443 : x
  2. Step 2: Convert to fraction form
    508,773/805,443 = 805,443/x
  3. Step 3: Cross multiply
    508,773x = 805,443 × 805,443
  4. Step 4: Simplify right side
    508,773x = 648,738,426,249
  5. Step 5: Solve for x
    x = 648,738,426,249/508,773
  6. Step 6: Final answer
    x = 1,275,103.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.