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Finding the Third Proportional to 507,832 and 771,717

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Solution

The third proportional to 507,832 and 771,717 is: 1,172,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,832 : 771,717 = 771,717 : x
  2. Step 2: Convert to fraction form
    507,832/771,717 = 771,717/x
  3. Step 3: Cross multiply
    507,832x = 771,717 × 771,717
  4. Step 4: Simplify right side
    507,832x = 595,547,128,089
  5. Step 5: Solve for x
    x = 595,547,128,089/507,832
  6. Step 6: Final answer
    x = 1,172,724.70

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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.