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Finding the Third Proportional to 278,460,608 and 590,115,348

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Solution

The third proportional to 278,460,608 and 590,115,348 is: 1,250,575,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,460,608 : 590,115,348 = 590,115,348 : x
  2. Step 2: Convert to fraction form
    278,460,608/590,115,348 = 590,115,348/x
  3. Step 3: Cross multiply
    278,460,608x = 590,115,348 × 590,115,348
  4. Step 4: Simplify right side
    278,460,608x = 348,236,123,945,161,088
  5. Step 5: Solve for x
    x = 348,236,123,945,161,088/278,460,608
  6. Step 6: Final answer
    x = 1,250,575,894.55

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.