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Finding the Third Proportional to 378,572 and 833,959

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Solution

The third proportional to 378,572 and 833,959 is: 1,837,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,572 : 833,959 = 833,959 : x
  2. Step 2: Convert to fraction form
    378,572/833,959 = 833,959/x
  3. Step 3: Cross multiply
    378,572x = 833,959 × 833,959
  4. Step 4: Simplify right side
    378,572x = 695,487,613,681
  5. Step 5: Solve for x
    x = 695,487,613,681/378,572
  6. Step 6: Final answer
    x = 1,837,134.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.