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Finding the Third Proportional to 285,768 and 620,784

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Solution

The third proportional to 285,768 and 620,784 is: 1,348,551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,768 : 620,784 = 620,784 : x
  2. Step 2: Convert to fraction form
    285,768/620,784 = 620,784/x
  3. Step 3: Cross multiply
    285,768x = 620,784 × 620,784
  4. Step 4: Simplify right side
    285,768x = 385,372,774,656
  5. Step 5: Solve for x
    x = 385,372,774,656/285,768
  6. Step 6: Final answer
    x = 1,348,551.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.