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Finding the Third Proportional to 366,939 and 583,762.50

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Solution

The third proportional to 366,939 and 583,762.50 is: 928,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,939 : 583,762.50 = 583,762.50 : x
  2. Step 2: Convert to fraction form
    366,939/583,762.50 = 583,762.50/x
  3. Step 3: Cross multiply
    366,939x = 583,762.50 × 583,762.50
  4. Step 4: Simplify right side
    366,939x = 340,778,656,406.25
  5. Step 5: Solve for x
    x = 340,778,656,406.25/366,939
  6. Step 6: Final answer
    x = 928,706.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.