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Finding the Third Proportional to 330,090 and 445,746

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Solution

The third proportional to 330,090 and 445,746 is: 601,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,090 : 445,746 = 445,746 : x
  2. Step 2: Convert to fraction form
    330,090/445,746 = 445,746/x
  3. Step 3: Cross multiply
    330,090x = 445,746 × 445,746
  4. Step 4: Simplify right side
    330,090x = 198,689,496,516
  5. Step 5: Solve for x
    x = 198,689,496,516/330,090
  6. Step 6: Final answer
    x = 601,925.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.