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Finding the Third Proportional to 243,348 and 520,323

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Solution

The third proportional to 243,348 and 520,323 is: 1,112,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,348 : 520,323 = 520,323 : x
  2. Step 2: Convert to fraction form
    243,348/520,323 = 520,323/x
  3. Step 3: Cross multiply
    243,348x = 520,323 × 520,323
  4. Step 4: Simplify right side
    243,348x = 270,736,024,329
  5. Step 5: Solve for x
    x = 270,736,024,329/243,348
  6. Step 6: Final answer
    x = 1,112,546.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.