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Finding the Third Proportional to 508,942 and 788,443

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Solution

The third proportional to 508,942 and 788,443 is: 1,221,440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,942 : 788,443 = 788,443 : x
  2. Step 2: Convert to fraction form
    508,942/788,443 = 788,443/x
  3. Step 3: Cross multiply
    508,942x = 788,443 × 788,443
  4. Step 4: Simplify right side
    508,942x = 621,642,364,249
  5. Step 5: Solve for x
    x = 621,642,364,249/508,942
  6. Step 6: Final answer
    x = 1,221,440.49

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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.