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Finding the Third Proportional to 584,263.13 and 874,059.38

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Solution

The third proportional to 584,263.13 and 874,059.38 is: 1,307,595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,263.13 : 874,059.38 = 874,059.38 : x
  2. Step 2: Convert to fraction form
    584,263.13/874,059.38 = 874,059.38/x
  3. Step 3: Cross multiply
    584,263.13x = 874,059.38 × 874,059.38
  4. Step 4: Simplify right side
    584,263.13x = 763,979,791,025.39
  5. Step 5: Solve for x
    x = 763,979,791,025.39/584,263.13
  6. Step 6: Final answer
    x = 1,307,595.43

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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.