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Finding the Third Proportional to 261,027 and 572,476.50

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Solution

The third proportional to 261,027 and 572,476.50 is: 1,255,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,027 : 572,476.50 = 572,476.50 : x
  2. Step 2: Convert to fraction form
    261,027/572,476.50 = 572,476.50/x
  3. Step 3: Cross multiply
    261,027x = 572,476.50 × 572,476.50
  4. Step 4: Simplify right side
    261,027x = 327,729,343,052.25
  5. Step 5: Solve for x
    x = 327,729,343,052.25/261,027
  6. Step 6: Final answer
    x = 1,255,538.10

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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.