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Finding the Third Proportional to 264,560 and 624,402

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Solution

The third proportional to 264,560 and 624,402 is: 1,473,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,560 : 624,402 = 624,402 : x
  2. Step 2: Convert to fraction form
    264,560/624,402 = 624,402/x
  3. Step 3: Cross multiply
    264,560x = 624,402 × 624,402
  4. Step 4: Simplify right side
    264,560x = 389,877,857,604
  5. Step 5: Solve for x
    x = 389,877,857,604/264,560
  6. Step 6: Final answer
    x = 1,473,684.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.