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Finding the Third Proportional to 536,080 and 833,527

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Solution

The third proportional to 536,080 and 833,527 is: 1,296,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,080 : 833,527 = 833,527 : x
  2. Step 2: Convert to fraction form
    536,080/833,527 = 833,527/x
  3. Step 3: Cross multiply
    536,080x = 833,527 × 833,527
  4. Step 4: Simplify right side
    536,080x = 694,767,259,729
  5. Step 5: Solve for x
    x = 694,767,259,729/536,080
  6. Step 6: Final answer
    x = 1,296,014.14

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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.