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Finding the Third Proportional to 464,094 and 738,465

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Solution

The third proportional to 464,094 and 738,465 is: 1,175,043.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,094 : 738,465 = 738,465 : x
  2. Step 2: Convert to fraction form
    464,094/738,465 = 738,465/x
  3. Step 3: Cross multiply
    464,094x = 738,465 × 738,465
  4. Step 4: Simplify right side
    464,094x = 545,330,556,225
  5. Step 5: Solve for x
    x = 545,330,556,225/464,094
  6. Step 6: Final answer
    x = 1,175,043.32

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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.