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Finding the Third Proportional to 464,624 and 683,328

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Solution

The third proportional to 464,624 and 683,328 is: 1,004,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,624 : 683,328 = 683,328 : x
  2. Step 2: Convert to fraction form
    464,624/683,328 = 683,328/x
  3. Step 3: Cross multiply
    464,624x = 683,328 × 683,328
  4. Step 4: Simplify right side
    464,624x = 466,937,155,584
  5. Step 5: Solve for x
    x = 466,937,155,584/464,624
  6. Step 6: Final answer
    x = 1,004,978.55

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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.