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Finding the Third Proportional to 415,536 and 623,784

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Solution

The third proportional to 415,536 and 623,784 is: 936,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,536 : 623,784 = 623,784 : x
  2. Step 2: Convert to fraction form
    415,536/623,784 = 623,784/x
  3. Step 3: Cross multiply
    415,536x = 623,784 × 623,784
  4. Step 4: Simplify right side
    415,536x = 389,106,478,656
  5. Step 5: Solve for x
    x = 389,106,478,656/415,536
  6. Step 6: Final answer
    x = 936,396.55

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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.