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Finding the Third Proportional to 464,091 and 738,466.50

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Solution

The third proportional to 464,091 and 738,466.50 is: 1,175,055.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,091 : 738,466.50 = 738,466.50 : x
  2. Step 2: Convert to fraction form
    464,091/738,466.50 = 738,466.50/x
  3. Step 3: Cross multiply
    464,091x = 738,466.50 × 738,466.50
  4. Step 4: Simplify right side
    464,091x = 545,332,771,622.25
  5. Step 5: Solve for x
    x = 545,332,771,622.25/464,091
  6. Step 6: Final answer
    x = 1,175,055.69

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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.