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Finding the Third Proportional to 402,835.50 and 847,143

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Solution

The third proportional to 402,835.50 and 847,143 is: 1,781,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,835.50 : 847,143 = 847,143 : x
  2. Step 2: Convert to fraction form
    402,835.50/847,143 = 847,143/x
  3. Step 3: Cross multiply
    402,835.50x = 847,143 × 847,143
  4. Step 4: Simplify right side
    402,835.50x = 717,651,262,449
  5. Step 5: Solve for x
    x = 717,651,262,449/402,835.50
  6. Step 6: Final answer
    x = 1,781,499.55

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.