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Finding the Third Proportional to 528,714 and 753,705

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Solution

The third proportional to 528,714 and 753,705 is: 1,074,439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,714 : 753,705 = 753,705 : x
  2. Step 2: Convert to fraction form
    528,714/753,705 = 753,705/x
  3. Step 3: Cross multiply
    528,714x = 753,705 × 753,705
  4. Step 4: Simplify right side
    528,714x = 568,071,227,025
  5. Step 5: Solve for x
    x = 568,071,227,025/528,714
  6. Step 6: Final answer
    x = 1,074,439.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.