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Finding the Third Proportional to 278,460,610 and 590,115,352

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Solution

The third proportional to 278,460,610 and 590,115,352 is: 1,250,575,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,460,610 : 590,115,352 = 590,115,352 : x
  2. Step 2: Convert to fraction form
    278,460,610/590,115,352 = 590,115,352/x
  3. Step 3: Cross multiply
    278,460,610x = 590,115,352 × 590,115,352
  4. Step 4: Simplify right side
    278,460,610x = 348,236,128,666,083,904
  5. Step 5: Solve for x
    x = 348,236,128,666,083,904/278,460,610
  6. Step 6: Final answer
    x = 1,250,575,902.52

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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.