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Finding the Third Proportional to 492,967 and 761,215

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Solution

The third proportional to 492,967 and 761,215 is: 1,175,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,967 : 761,215 = 761,215 : x
  2. Step 2: Convert to fraction form
    492,967/761,215 = 761,215/x
  3. Step 3: Cross multiply
    492,967x = 761,215 × 761,215
  4. Step 4: Simplify right side
    492,967x = 579,448,276,225
  5. Step 5: Solve for x
    x = 579,448,276,225/492,967
  6. Step 6: Final answer
    x = 1,175,430.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.