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Finding the Third Proportional to 349,582 and 539,827

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Solution

The third proportional to 349,582 and 539,827 is: 833,604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,582 : 539,827 = 539,827 : x
  2. Step 2: Convert to fraction form
    349,582/539,827 = 539,827/x
  3. Step 3: Cross multiply
    349,582x = 539,827 × 539,827
  4. Step 4: Simplify right side
    349,582x = 291,413,189,929
  5. Step 5: Solve for x
    x = 291,413,189,929/349,582
  6. Step 6: Final answer
    x = 833,604.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.