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Finding the Third Proportional to 584,265 and 874,063.50

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Solution

The third proportional to 584,265 and 874,063.50 is: 1,307,603.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,265 : 874,063.50 = 874,063.50 : x
  2. Step 2: Convert to fraction form
    584,265/874,063.50 = 874,063.50/x
  3. Step 3: Cross multiply
    584,265x = 874,063.50 × 874,063.50
  4. Step 4: Simplify right side
    584,265x = 763,987,002,032.25
  5. Step 5: Solve for x
    x = 763,987,002,032.25/584,265
  6. Step 6: Final answer
    x = 1,307,603.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.