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Finding the Third Proportional to 368,010 and 749,553

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Solution

The third proportional to 368,010 and 749,553 is: 1,526,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,010 : 749,553 = 749,553 : x
  2. Step 2: Convert to fraction form
    368,010/749,553 = 749,553/x
  3. Step 3: Cross multiply
    368,010x = 749,553 × 749,553
  4. Step 4: Simplify right side
    368,010x = 561,829,699,809
  5. Step 5: Solve for x
    x = 561,829,699,809/368,010
  6. Step 6: Final answer
    x = 1,526,669.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.