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Finding the Third Proportional to 464,642 and 683,352

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Solution

The third proportional to 464,642 and 683,352 is: 1,005,010.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,642 : 683,352 = 683,352 : x
  2. Step 2: Convert to fraction form
    464,642/683,352 = 683,352/x
  3. Step 3: Cross multiply
    464,642x = 683,352 × 683,352
  4. Step 4: Simplify right side
    464,642x = 466,969,955,904
  5. Step 5: Solve for x
    x = 466,969,955,904/464,642
  6. Step 6: Final answer
    x = 1,005,010.21

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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.