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Finding the Third Proportional to 478,610 and 740,992

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Solution

The third proportional to 478,610 and 740,992 is: 1,147,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,610 : 740,992 = 740,992 : x
  2. Step 2: Convert to fraction form
    478,610/740,992 = 740,992/x
  3. Step 3: Cross multiply
    478,610x = 740,992 × 740,992
  4. Step 4: Simplify right side
    478,610x = 549,069,144,064
  5. Step 5: Solve for x
    x = 549,069,144,064/478,610
  6. Step 6: Final answer
    x = 1,147,216.20

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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.