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Finding the Third Proportional to 584,436.75 and 874,303.13

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Solution

The third proportional to 584,436.75 and 874,303.13 is: 1,307,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,436.75 : 874,303.13 = 874,303.13 : x
  2. Step 2: Convert to fraction form
    584,436.75/874,303.13 = 874,303.13/x
  3. Step 3: Cross multiply
    584,436.75x = 874,303.13 × 874,303.13
  4. Step 4: Simplify right side
    584,436.75x = 764,405,954,384.77
  5. Step 5: Solve for x
    x = 764,405,954,384.77/584,436.75
  6. Step 6: Final answer
    x = 1,307,936.15

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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.