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Finding the Third Proportional to 261,316.50 and 572,457

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Solution

The third proportional to 261,316.50 and 572,457 is: 1,254,061.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,316.50 : 572,457 = 572,457 : x
  2. Step 2: Convert to fraction form
    261,316.50/572,457 = 572,457/x
  3. Step 3: Cross multiply
    261,316.50x = 572,457 × 572,457
  4. Step 4: Simplify right side
    261,316.50x = 327,707,016,849
  5. Step 5: Solve for x
    x = 327,707,016,849/261,316.50
  6. Step 6: Final answer
    x = 1,254,061.71

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Why These Related Problems?

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