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Finding the Third Proportional to 478,612 and 740,996

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Solution

The third proportional to 478,612 and 740,996 is: 1,147,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,612 : 740,996 = 740,996 : x
  2. Step 2: Convert to fraction form
    478,612/740,996 = 740,996/x
  3. Step 3: Cross multiply
    478,612x = 740,996 × 740,996
  4. Step 4: Simplify right side
    478,612x = 549,075,072,016
  5. Step 5: Solve for x
    x = 549,075,072,016/478,612
  6. Step 6: Final answer
    x = 1,147,223.79

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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.