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Finding the Third Proportional to 336,622.13 and 730,466.63

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Solution

The third proportional to 336,622.13 and 730,466.63 is: 1,585,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,622.13 : 730,466.63 = 730,466.63 : x
  2. Step 2: Convert to fraction form
    336,622.13/730,466.63 = 730,466.63/x
  3. Step 3: Cross multiply
    336,622.13x = 730,466.63 × 730,466.63
  4. Step 4: Simplify right side
    336,622.13x = 533,581,490,238.89
  5. Step 5: Solve for x
    x = 533,581,490,238.89/336,622.13
  6. Step 6: Final answer
    x = 1,585,105.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.