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Finding the Third Proportional to 297,122 and 650,386

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Solution

The third proportional to 297,122 and 650,386 is: 1,423,664.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,122 : 650,386 = 650,386 : x
  2. Step 2: Convert to fraction form
    297,122/650,386 = 650,386/x
  3. Step 3: Cross multiply
    297,122x = 650,386 × 650,386
  4. Step 4: Simplify right side
    297,122x = 423,001,948,996
  5. Step 5: Solve for x
    x = 423,001,948,996/297,122
  6. Step 6: Final answer
    x = 1,423,664.18

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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.