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Finding the Third Proportional to 272,565 and 586,773

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Solution

The third proportional to 272,565 and 586,773 is: 1,263,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,565 : 586,773 = 586,773 : x
  2. Step 2: Convert to fraction form
    272,565/586,773 = 586,773/x
  3. Step 3: Cross multiply
    272,565x = 586,773 × 586,773
  4. Step 4: Simplify right side
    272,565x = 344,302,553,529
  5. Step 5: Solve for x
    x = 344,302,553,529/272,565
  6. Step 6: Final answer
    x = 1,263,194.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.