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Finding the Third Proportional to 464,061 and 738,420

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Solution

The third proportional to 464,061 and 738,420 is: 1,174,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,061 : 738,420 = 738,420 : x
  2. Step 2: Convert to fraction form
    464,061/738,420 = 738,420/x
  3. Step 3: Cross multiply
    464,061x = 738,420 × 738,420
  4. Step 4: Simplify right side
    464,061x = 545,264,096,400
  5. Step 5: Solve for x
    x = 545,264,096,400/464,061
  6. Step 6: Final answer
    x = 1,174,983.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.