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Finding the Third Proportional to 261,318 and 572,457.75

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Solution

The third proportional to 261,318 and 572,457.75 is: 1,254,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,318 : 572,457.75 = 572,457.75 : x
  2. Step 2: Convert to fraction form
    261,318/572,457.75 = 572,457.75/x
  3. Step 3: Cross multiply
    261,318x = 572,457.75 × 572,457.75
  4. Step 4: Simplify right side
    261,318x = 327,707,875,535.06
  5. Step 5: Solve for x
    x = 327,707,875,535.06/261,318
  6. Step 6: Final answer
    x = 1,254,057.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.