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Finding the Third Proportional to 348,020 and 529,323

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Solution

The third proportional to 348,020 and 529,323 is: 805,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,020 : 529,323 = 529,323 : x
  2. Step 2: Convert to fraction form
    348,020/529,323 = 529,323/x
  3. Step 3: Cross multiply
    348,020x = 529,323 × 529,323
  4. Step 4: Simplify right side
    348,020x = 280,182,838,329
  5. Step 5: Solve for x
    x = 280,182,838,329/348,020
  6. Step 6: Final answer
    x = 805,076.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.