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Finding the Third Proportional to 490,952 and 761,967

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Solution

The third proportional to 490,952 and 761,967 is: 1,182,587.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,952 : 761,967 = 761,967 : x
  2. Step 2: Convert to fraction form
    490,952/761,967 = 761,967/x
  3. Step 3: Cross multiply
    490,952x = 761,967 × 761,967
  4. Step 4: Simplify right side
    490,952x = 580,593,709,089
  5. Step 5: Solve for x
    x = 580,593,709,089/490,952
  6. Step 6: Final answer
    x = 1,182,587.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.