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Finding the Third Proportional to 556,332 and 834,123

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Solution

The third proportional to 556,332 and 834,123 is: 1,250,622.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,332 : 834,123 = 834,123 : x
  2. Step 2: Convert to fraction form
    556,332/834,123 = 834,123/x
  3. Step 3: Cross multiply
    556,332x = 834,123 × 834,123
  4. Step 4: Simplify right side
    556,332x = 695,761,179,129
  5. Step 5: Solve for x
    x = 695,761,179,129/556,332
  6. Step 6: Final answer
    x = 1,250,622.25

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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.