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Finding the Third Proportional to 430,508.67 and 942,585.61

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Solution

The third proportional to 430,508.67 and 942,585.61 is: 2,063,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,508.67 : 942,585.61 = 942,585.61 : x
  2. Step 2: Convert to fraction form
    430,508.67/942,585.61 = 942,585.61/x
  3. Step 3: Cross multiply
    430,508.67x = 942,585.61 × 942,585.61
  4. Step 4: Simplify right side
    430,508.67x = 888,467,631,000.84
  5. Step 5: Solve for x
    x = 888,467,631,000.84/430,508.67
  6. Step 6: Final answer
    x = 2,063,762.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.