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Finding the Third Proportional to 278,501.50 and 594,587

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Solution

The third proportional to 278,501.50 and 594,587 is: 1,269,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,501.50 : 594,587 = 594,587 : x
  2. Step 2: Convert to fraction form
    278,501.50/594,587 = 594,587/x
  3. Step 3: Cross multiply
    278,501.50x = 594,587 × 594,587
  4. Step 4: Simplify right side
    278,501.50x = 353,533,700,569
  5. Step 5: Solve for x
    x = 353,533,700,569/278,501.50
  6. Step 6: Final answer
    x = 1,269,413.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.