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Finding the Third Proportional to 554,246 and 833,830

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Solution

The third proportional to 554,246 and 833,830 is: 1,254,447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,246 : 833,830 = 833,830 : x
  2. Step 2: Convert to fraction form
    554,246/833,830 = 833,830/x
  3. Step 3: Cross multiply
    554,246x = 833,830 × 833,830
  4. Step 4: Simplify right side
    554,246x = 695,272,468,900
  5. Step 5: Solve for x
    x = 695,272,468,900/554,246
  6. Step 6: Final answer
    x = 1,254,447.43

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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.