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Finding the Third Proportional to 506,565 and 770,291

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Solution

The third proportional to 506,565 and 770,291 is: 1,171,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,565 : 770,291 = 770,291 : x
  2. Step 2: Convert to fraction form
    506,565/770,291 = 770,291/x
  3. Step 3: Cross multiply
    506,565x = 770,291 × 770,291
  4. Step 4: Simplify right side
    506,565x = 593,348,224,681
  5. Step 5: Solve for x
    x = 593,348,224,681/506,565
  6. Step 6: Final answer
    x = 1,171,317.06

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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.