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Finding the Third Proportional to 297,120 and 650,382

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Solution

The third proportional to 297,120 and 650,382 is: 1,423,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,120 : 650,382 = 650,382 : x
  2. Step 2: Convert to fraction form
    297,120/650,382 = 650,382/x
  3. Step 3: Cross multiply
    297,120x = 650,382 × 650,382
  4. Step 4: Simplify right side
    297,120x = 422,996,745,924
  5. Step 5: Solve for x
    x = 422,996,745,924/297,120
  6. Step 6: Final answer
    x = 1,423,656.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.