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Finding the Third Proportional to 201,373 and 470,312

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Solution

The third proportional to 201,373 and 470,312 is: 1,098,426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,373 : 470,312 = 470,312 : x
  2. Step 2: Convert to fraction form
    201,373/470,312 = 470,312/x
  3. Step 3: Cross multiply
    201,373x = 470,312 × 470,312
  4. Step 4: Simplify right side
    201,373x = 221,193,377,344
  5. Step 5: Solve for x
    x = 221,193,377,344/201,373
  6. Step 6: Final answer
    x = 1,098,426.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.