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Finding the Third Proportional to 337,152 and 722,283

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Solution

The third proportional to 337,152 and 722,283 is: 1,547,351.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,152 : 722,283 = 722,283 : x
  2. Step 2: Convert to fraction form
    337,152/722,283 = 722,283/x
  3. Step 3: Cross multiply
    337,152x = 722,283 × 722,283
  4. Step 4: Simplify right side
    337,152x = 521,692,732,089
  5. Step 5: Solve for x
    x = 521,692,732,089/337,152
  6. Step 6: Final answer
    x = 1,547,351.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.