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Finding the Third Proportional to 583,488 and 834,336

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Solution

The third proportional to 583,488 and 834,336 is: 1,193,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,488 : 834,336 = 834,336 : x
  2. Step 2: Convert to fraction form
    583,488/834,336 = 834,336/x
  3. Step 3: Cross multiply
    583,488x = 834,336 × 834,336
  4. Step 4: Simplify right side
    583,488x = 696,116,560,896
  5. Step 5: Solve for x
    x = 696,116,560,896/583,488
  6. Step 6: Final answer
    x = 1,193,026.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.