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Finding the Third Proportional to 539,024 and 808,466

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Solution

The third proportional to 539,024 and 808,466 is: 1,212,594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,024 : 808,466 = 808,466 : x
  2. Step 2: Convert to fraction form
    539,024/808,466 = 808,466/x
  3. Step 3: Cross multiply
    539,024x = 808,466 × 808,466
  4. Step 4: Simplify right side
    539,024x = 653,617,273,156
  5. Step 5: Solve for x
    x = 653,617,273,156/539,024
  6. Step 6: Final answer
    x = 1,212,594.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.