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Finding the Third Proportional to 460,313 and 621,917.50

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Solution

The third proportional to 460,313 and 621,917.50 is: 840,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,313 : 621,917.50 = 621,917.50 : x
  2. Step 2: Convert to fraction form
    460,313/621,917.50 = 621,917.50/x
  3. Step 3: Cross multiply
    460,313x = 621,917.50 × 621,917.50
  4. Step 4: Simplify right side
    460,313x = 386,781,376,806.25
  5. Step 5: Solve for x
    x = 386,781,376,806.25/460,313
  6. Step 6: Final answer
    x = 840,257.34

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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.