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Finding the Third Proportional to 534,880 and 785,946

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Solution

The third proportional to 534,880 and 785,946 is: 1,154,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,880 : 785,946 = 785,946 : x
  2. Step 2: Convert to fraction form
    534,880/785,946 = 785,946/x
  3. Step 3: Cross multiply
    534,880x = 785,946 × 785,946
  4. Step 4: Simplify right side
    534,880x = 617,711,114,916
  5. Step 5: Solve for x
    x = 617,711,114,916/534,880
  6. Step 6: Final answer
    x = 1,154,859.25

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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.