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Finding the Third Proportional to 290,883 and 426,748.50

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Solution

The third proportional to 290,883 and 426,748.50 is: 626,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,883 : 426,748.50 = 426,748.50 : x
  2. Step 2: Convert to fraction form
    290,883/426,748.50 = 426,748.50/x
  3. Step 3: Cross multiply
    290,883x = 426,748.50 × 426,748.50
  4. Step 4: Simplify right side
    290,883x = 182,114,282,252.25
  5. Step 5: Solve for x
    x = 182,114,282,252.25/290,883
  6. Step 6: Final answer
    x = 626,074.00

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.