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Finding the Third Proportional to 233,061 and 507,640.50

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Solution

The third proportional to 233,061 and 507,640.50 is: 1,105,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,061 : 507,640.50 = 507,640.50 : x
  2. Step 2: Convert to fraction form
    233,061/507,640.50 = 507,640.50/x
  3. Step 3: Cross multiply
    233,061x = 507,640.50 × 507,640.50
  4. Step 4: Simplify right side
    233,061x = 257,698,877,240.25
  5. Step 5: Solve for x
    x = 257,698,877,240.25/233,061
  6. Step 6: Final answer
    x = 1,105,714.29

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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.