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Finding the Third Proportional to 526,254 and 769,402

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Solution

The third proportional to 526,254 and 769,402 is: 1,124,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,254 : 769,402 = 769,402 : x
  2. Step 2: Convert to fraction form
    526,254/769,402 = 769,402/x
  3. Step 3: Cross multiply
    526,254x = 769,402 × 769,402
  4. Step 4: Simplify right side
    526,254x = 591,979,437,604
  5. Step 5: Solve for x
    x = 591,979,437,604/526,254
  6. Step 6: Final answer
    x = 1,124,892.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.