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Finding the Third Proportional to 435,782.53 and 948,730.85

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Solution

The third proportional to 435,782.53 and 948,730.85 is: 2,065,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,782.53 : 948,730.85 = 948,730.85 : x
  2. Step 2: Convert to fraction form
    435,782.53/948,730.85 = 948,730.85/x
  3. Step 3: Cross multiply
    435,782.53x = 948,730.85 × 948,730.85
  4. Step 4: Simplify right side
    435,782.53x = 900,090,228,706.51
  5. Step 5: Solve for x
    x = 900,090,228,706.51/435,782.53
  6. Step 6: Final answer
    x = 2,065,457.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.