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Finding the Third Proportional to 560,304 and 805,446

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Solution

The third proportional to 560,304 and 805,446 is: 1,157,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,304 : 805,446 = 805,446 : x
  2. Step 2: Convert to fraction form
    560,304/805,446 = 805,446/x
  3. Step 3: Cross multiply
    560,304x = 805,446 × 805,446
  4. Step 4: Simplify right side
    560,304x = 648,743,258,916
  5. Step 5: Solve for x
    x = 648,743,258,916/560,304
  6. Step 6: Final answer
    x = 1,157,841.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.