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Finding the Third Proportional to 534,875 and 785,941

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Solution

The third proportional to 534,875 and 785,941 is: 1,154,855.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,875 : 785,941 = 785,941 : x
  2. Step 2: Convert to fraction form
    534,875/785,941 = 785,941/x
  3. Step 3: Cross multiply
    534,875x = 785,941 × 785,941
  4. Step 4: Simplify right side
    534,875x = 617,703,255,481
  5. Step 5: Solve for x
    x = 617,703,255,481/534,875
  6. Step 6: Final answer
    x = 1,154,855.35

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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.