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Finding the Third Proportional to 534,877 and 785,944

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Solution

The third proportional to 534,877 and 785,944 is: 1,154,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,877 : 785,944 = 785,944 : x
  2. Step 2: Convert to fraction form
    534,877/785,944 = 785,944/x
  3. Step 3: Cross multiply
    534,877x = 785,944 × 785,944
  4. Step 4: Simplify right side
    534,877x = 617,707,971,136
  5. Step 5: Solve for x
    x = 617,707,971,136/534,877
  6. Step 6: Final answer
    x = 1,154,859.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.