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Finding the Third Proportional to 476,172 and 720,402

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Solution

The third proportional to 476,172 and 720,402 is: 1,089,898.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,172 : 720,402 = 720,402 : x
  2. Step 2: Convert to fraction form
    476,172/720,402 = 720,402/x
  3. Step 3: Cross multiply
    476,172x = 720,402 × 720,402
  4. Step 4: Simplify right side
    476,172x = 518,979,041,604
  5. Step 5: Solve for x
    x = 518,979,041,604/476,172
  6. Step 6: Final answer
    x = 1,089,898.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.