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Finding the Third Proportional to 287,762 and 586,948

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Solution

The third proportional to 287,762 and 586,948 is: 1,197,197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,762 : 586,948 = 586,948 : x
  2. Step 2: Convert to fraction form
    287,762/586,948 = 586,948/x
  3. Step 3: Cross multiply
    287,762x = 586,948 × 586,948
  4. Step 4: Simplify right side
    287,762x = 344,507,954,704
  5. Step 5: Solve for x
    x = 344,507,954,704/287,762
  6. Step 6: Final answer
    x = 1,197,197.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.