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Finding the Third Proportional to 297,403 and 460,662

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Solution

The third proportional to 297,403 and 460,662 is: 713,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,403 : 460,662 = 460,662 : x
  2. Step 2: Convert to fraction form
    297,403/460,662 = 460,662/x
  3. Step 3: Cross multiply
    297,403x = 460,662 × 460,662
  4. Step 4: Simplify right side
    297,403x = 212,209,478,244
  5. Step 5: Solve for x
    x = 212,209,478,244/297,403
  6. Step 6: Final answer
    x = 713,541.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.