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Finding the Third Proportional to 233,118 and 507,748.50

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Solution

The third proportional to 233,118 and 507,748.50 is: 1,105,914.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,118 : 507,748.50 = 507,748.50 : x
  2. Step 2: Convert to fraction form
    233,118/507,748.50 = 507,748.50/x
  3. Step 3: Cross multiply
    233,118x = 507,748.50 × 507,748.50
  4. Step 4: Simplify right side
    233,118x = 257,808,539,252.25
  5. Step 5: Solve for x
    x = 257,808,539,252.25/233,118
  6. Step 6: Final answer
    x = 1,105,914.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.