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Finding the Third Proportional to 478,853.31 and 714,127.44

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Solution

The third proportional to 478,853.31 and 714,127.44 is: 1,064,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,853.31 : 714,127.44 = 714,127.44 : x
  2. Step 2: Convert to fraction form
    478,853.31/714,127.44 = 714,127.44/x
  3. Step 3: Cross multiply
    478,853.31x = 714,127.44 × 714,127.44
  4. Step 4: Simplify right side
    478,853.31x = 509,977,996,990.32
  5. Step 5: Solve for x
    x = 509,977,996,990.32/478,853.31
  6. Step 6: Final answer
    x = 1,064,998.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.