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Finding the Third Proportional to 460,212.75 and 646,032.38

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Solution

The third proportional to 460,212.75 and 646,032.38 is: 906,880.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,212.75 : 646,032.38 = 646,032.38 : x
  2. Step 2: Convert to fraction form
    460,212.75/646,032.38 = 646,032.38/x
  3. Step 3: Cross multiply
    460,212.75x = 646,032.38 × 646,032.38
  4. Step 4: Simplify right side
    460,212.75x = 417,357,829,548.14
  5. Step 5: Solve for x
    x = 417,357,829,548.14/460,212.75
  6. Step 6: Final answer
    x = 906,880.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.