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Finding the Third Proportional to 296,358 and 640,101

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Solution

The third proportional to 296,358 and 640,101 is: 1,382,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,358 : 640,101 = 640,101 : x
  2. Step 2: Convert to fraction form
    296,358/640,101 = 640,101/x
  3. Step 3: Cross multiply
    296,358x = 640,101 × 640,101
  4. Step 4: Simplify right side
    296,358x = 409,729,290,201
  5. Step 5: Solve for x
    x = 409,729,290,201/296,358
  6. Step 6: Final answer
    x = 1,382,548.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.