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Finding the Third Proportional to 464,079 and 738,447

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Solution

The third proportional to 464,079 and 738,447 is: 1,175,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,079 : 738,447 = 738,447 : x
  2. Step 2: Convert to fraction form
    464,079/738,447 = 738,447/x
  3. Step 3: Cross multiply
    464,079x = 738,447 × 738,447
  4. Step 4: Simplify right side
    464,079x = 545,303,971,809
  5. Step 5: Solve for x
    x = 545,303,971,809/464,079
  6. Step 6: Final answer
    x = 1,175,024.02

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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.