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Finding the Third Proportional to 498,366,029 and 773,669,154

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Solution

The third proportional to 498,366,029 and 773,669,154 is: 1,201,052,890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,366,029 : 773,669,154 = 773,669,154 : x
  2. Step 2: Convert to fraction form
    498,366,029/773,669,154 = 773,669,154/x
  3. Step 3: Cross multiply
    498,366,029x = 773,669,154 × 773,669,154
  4. Step 4: Simplify right side
    498,366,029x = 598,563,959,851,075,712
  5. Step 5: Solve for x
    x = 598,563,959,851,075,712/498,366,029
  6. Step 6: Final answer
    x = 1,201,052,890.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.