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Finding the Third Proportional to 368,430 and 805,598

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Solution

The third proportional to 368,430 and 805,598 is: 1,761,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,430 : 805,598 = 805,598 : x
  2. Step 2: Convert to fraction form
    368,430/805,598 = 805,598/x
  3. Step 3: Cross multiply
    368,430x = 805,598 × 805,598
  4. Step 4: Simplify right side
    368,430x = 648,988,137,604
  5. Step 5: Solve for x
    x = 648,988,137,604/368,430
  6. Step 6: Final answer
    x = 1,761,496.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.