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Finding the Third Proportional to 538,560 and 833,877

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Solution

The third proportional to 538,560 and 833,877 is: 1,291,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,560 : 833,877 = 833,877 : x
  2. Step 2: Convert to fraction form
    538,560/833,877 = 833,877/x
  3. Step 3: Cross multiply
    538,560x = 833,877 × 833,877
  4. Step 4: Simplify right side
    538,560x = 695,350,851,129
  5. Step 5: Solve for x
    x = 695,350,851,129/538,560
  6. Step 6: Final answer
    x = 1,291,129.77

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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.