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Finding the Third Proportional to 330,714 and 524,358

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Solution

The third proportional to 330,714 and 524,358 is: 831,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,714 : 524,358 = 524,358 : x
  2. Step 2: Convert to fraction form
    330,714/524,358 = 524,358/x
  3. Step 3: Cross multiply
    330,714x = 524,358 × 524,358
  4. Step 4: Simplify right side
    330,714x = 274,951,312,164
  5. Step 5: Solve for x
    x = 274,951,312,164/330,714
  6. Step 6: Final answer
    x = 831,386.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.