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Finding the Third Proportional to 478,602.75 and 740,982

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Solution

The third proportional to 478,602.75 and 740,982 is: 1,147,202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,602.75 : 740,982 = 740,982 : x
  2. Step 2: Convert to fraction form
    478,602.75/740,982 = 740,982/x
  3. Step 3: Cross multiply
    478,602.75x = 740,982 × 740,982
  4. Step 4: Simplify right side
    478,602.75x = 549,054,324,324
  5. Step 5: Solve for x
    x = 549,054,324,324/478,602.75
  6. Step 6: Final answer
    x = 1,147,202.61

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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.