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Finding the Third Proportional to 584,265.50 and 874,063

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Solution

The third proportional to 584,265.50 and 874,063 is: 1,307,600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,265.50 : 874,063 = 874,063 : x
  2. Step 2: Convert to fraction form
    584,265.50/874,063 = 874,063/x
  3. Step 3: Cross multiply
    584,265.50x = 874,063 × 874,063
  4. Step 4: Simplify right side
    584,265.50x = 763,986,127,969
  5. Step 5: Solve for x
    x = 763,986,127,969/584,265.50
  6. Step 6: Final answer
    x = 1,307,600.96

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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.