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Finding the Third Proportional to 302,967 and 460,746

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Solution

The third proportional to 302,967 and 460,746 is: 700,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,967 : 460,746 = 460,746 : x
  2. Step 2: Convert to fraction form
    302,967/460,746 = 460,746/x
  3. Step 3: Cross multiply
    302,967x = 460,746 × 460,746
  4. Step 4: Simplify right side
    302,967x = 212,286,876,516
  5. Step 5: Solve for x
    x = 212,286,876,516/302,967
  6. Step 6: Final answer
    x = 700,693.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.