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Finding the Third Proportional to 464,668 and 683,386

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Solution

The third proportional to 464,668 and 683,386 is: 1,005,053.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,668 : 683,386 = 683,386 : x
  2. Step 2: Convert to fraction form
    464,668/683,386 = 683,386/x
  3. Step 3: Cross multiply
    464,668x = 683,386 × 683,386
  4. Step 4: Simplify right side
    464,668x = 467,016,424,996
  5. Step 5: Solve for x
    x = 467,016,424,996/464,668
  6. Step 6: Final answer
    x = 1,005,053.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.