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Finding the Third Proportional to 307,147.50 and 658,746

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Solution

The third proportional to 307,147.50 and 658,746 is: 1,412,827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,147.50 : 658,746 = 658,746 : x
  2. Step 2: Convert to fraction form
    307,147.50/658,746 = 658,746/x
  3. Step 3: Cross multiply
    307,147.50x = 658,746 × 658,746
  4. Step 4: Simplify right side
    307,147.50x = 433,946,292,516
  5. Step 5: Solve for x
    x = 433,946,292,516/307,147.50
  6. Step 6: Final answer
    x = 1,412,827.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.