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Finding the Third Proportional to 302,963 and 460,740

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Solution

The third proportional to 302,963 and 460,740 is: 700,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,963 : 460,740 = 460,740 : x
  2. Step 2: Convert to fraction form
    302,963/460,740 = 460,740/x
  3. Step 3: Cross multiply
    302,963x = 460,740 × 460,740
  4. Step 4: Simplify right side
    302,963x = 212,281,347,600
  5. Step 5: Solve for x
    x = 212,281,347,600/302,963
  6. Step 6: Final answer
    x = 700,684.07

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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.