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Finding the Third Proportional to 464,088 and 738,462

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Solution

The third proportional to 464,088 and 738,462 is: 1,175,048.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,088 : 738,462 = 738,462 : x
  2. Step 2: Convert to fraction form
    464,088/738,462 = 738,462/x
  3. Step 3: Cross multiply
    464,088x = 738,462 × 738,462
  4. Step 4: Simplify right side
    464,088x = 545,326,125,444
  5. Step 5: Solve for x
    x = 545,326,125,444/464,088
  6. Step 6: Final answer
    x = 1,175,048.97

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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.