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Finding the Third Proportional to 572,538 and 777,567

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Solution

The third proportional to 572,538 and 777,567 is: 1,056,018.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,538 : 777,567 = 777,567 : x
  2. Step 2: Convert to fraction form
    572,538/777,567 = 777,567/x
  3. Step 3: Cross multiply
    572,538x = 777,567 × 777,567
  4. Step 4: Simplify right side
    572,538x = 604,610,439,489
  5. Step 5: Solve for x
    x = 604,610,439,489/572,538
  6. Step 6: Final answer
    x = 1,056,018.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.