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Finding the Third Proportional to 471,935 and 707,952

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Solution

The third proportional to 471,935 and 707,952 is: 1,062,002.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,935 : 707,952 = 707,952 : x
  2. Step 2: Convert to fraction form
    471,935/707,952 = 707,952/x
  3. Step 3: Cross multiply
    471,935x = 707,952 × 707,952
  4. Step 4: Simplify right side
    471,935x = 501,196,034,304
  5. Step 5: Solve for x
    x = 501,196,034,304/471,935
  6. Step 6: Final answer
    x = 1,062,002.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.