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Finding the Third Proportional to 478,602 and 740,981.25

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Solution

The third proportional to 478,602 and 740,981.25 is: 1,147,202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,602 : 740,981.25 = 740,981.25 : x
  2. Step 2: Convert to fraction form
    478,602/740,981.25 = 740,981.25/x
  3. Step 3: Cross multiply
    478,602x = 740,981.25 × 740,981.25
  4. Step 4: Simplify right side
    478,602x = 549,053,212,851.56
  5. Step 5: Solve for x
    x = 549,053,212,851.56/478,602
  6. Step 6: Final answer
    x = 1,147,202.09

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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.