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Finding the Third Proportional to 556,516 and 834,888

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Solution

The third proportional to 556,516 and 834,888 is: 1,252,503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,516 : 834,888 = 834,888 : x
  2. Step 2: Convert to fraction form
    556,516/834,888 = 834,888/x
  3. Step 3: Cross multiply
    556,516x = 834,888 × 834,888
  4. Step 4: Simplify right side
    556,516x = 697,037,972,544
  5. Step 5: Solve for x
    x = 697,037,972,544/556,516
  6. Step 6: Final answer
    x = 1,252,503.02

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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.