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Finding the Third Proportional to 478,605 and 740,986.50

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Solution

The third proportional to 478,605 and 740,986.50 is: 1,147,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,605 : 740,986.50 = 740,986.50 : x
  2. Step 2: Convert to fraction form
    478,605/740,986.50 = 740,986.50/x
  3. Step 3: Cross multiply
    478,605x = 740,986.50 × 740,986.50
  4. Step 4: Simplify right side
    478,605x = 549,060,993,182.25
  5. Step 5: Solve for x
    x = 549,060,993,182.25/478,605
  6. Step 6: Final answer
    x = 1,147,211.15

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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.