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Finding the Third Proportional to 363,496 and 551,784

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Solution

The third proportional to 363,496 and 551,784 is: 837,603.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,496 : 551,784 = 551,784 : x
  2. Step 2: Convert to fraction form
    363,496/551,784 = 551,784/x
  3. Step 3: Cross multiply
    363,496x = 551,784 × 551,784
  4. Step 4: Simplify right side
    363,496x = 304,465,582,656
  5. Step 5: Solve for x
    x = 304,465,582,656/363,496
  6. Step 6: Final answer
    x = 837,603.67

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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.