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Finding the Third Proportional to 334,830.27 and 478,622.67

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Solution

The third proportional to 334,830.27 and 478,622.67 is: 684,166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,830.27 : 478,622.67 = 478,622.67 : x
  2. Step 2: Convert to fraction form
    334,830.27/478,622.67 = 478,622.67/x
  3. Step 3: Cross multiply
    334,830.27x = 478,622.67 × 478,622.67
  4. Step 4: Simplify right side
    334,830.27x = 229,079,662,032.76
  5. Step 5: Solve for x
    x = 229,079,662,032.76/334,830.27
  6. Step 6: Final answer
    x = 684,166.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.