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Finding the Third Proportional to 565,050.50 and 852,830.50

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Solution

The third proportional to 565,050.50 and 852,830.50 is: 1,287,176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,050.50 : 852,830.50 = 852,830.50 : x
  2. Step 2: Convert to fraction form
    565,050.50/852,830.50 = 852,830.50/x
  3. Step 3: Cross multiply
    565,050.50x = 852,830.50 × 852,830.50
  4. Step 4: Simplify right side
    565,050.50x = 727,319,861,730.25
  5. Step 5: Solve for x
    x = 727,319,861,730.25/565,050.50
  6. Step 6: Final answer
    x = 1,287,176.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.