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Finding the Third Proportional to 333,916 and 742,478

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Solution

The third proportional to 333,916 and 742,478 is: 1,650,934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,916 : 742,478 = 742,478 : x
  2. Step 2: Convert to fraction form
    333,916/742,478 = 742,478/x
  3. Step 3: Cross multiply
    333,916x = 742,478 × 742,478
  4. Step 4: Simplify right side
    333,916x = 551,273,580,484
  5. Step 5: Solve for x
    x = 551,273,580,484/333,916
  6. Step 6: Final answer
    x = 1,650,934.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.