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Finding the Third Proportional to 264,942 and 572,139

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Solution

The third proportional to 264,942 and 572,139 is: 1,235,527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,942 : 572,139 = 572,139 : x
  2. Step 2: Convert to fraction form
    264,942/572,139 = 572,139/x
  3. Step 3: Cross multiply
    264,942x = 572,139 × 572,139
  4. Step 4: Simplify right side
    264,942x = 327,343,035,321
  5. Step 5: Solve for x
    x = 327,343,035,321/264,942
  6. Step 6: Final answer
    x = 1,235,527.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.