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Finding the Third Proportional to 517,225.50 and 776,536.88

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Solution

The third proportional to 517,225.50 and 776,536.88 is: 1,165,854.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,225.50 : 776,536.88 = 776,536.88 : x
  2. Step 2: Convert to fraction form
    517,225.50/776,536.88 = 776,536.88/x
  3. Step 3: Cross multiply
    517,225.50x = 776,536.88 × 776,536.88
  4. Step 4: Simplify right side
    517,225.50x = 603,009,518,234.77
  5. Step 5: Solve for x
    x = 603,009,518,234.77/517,225.50
  6. Step 6: Final answer
    x = 1,165,854.19

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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.