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Finding the Third Proportional to 245,032 and 500,430

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Solution

The third proportional to 245,032 and 500,430 is: 1,022,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,032 : 500,430 = 500,430 : x
  2. Step 2: Convert to fraction form
    245,032/500,430 = 500,430/x
  3. Step 3: Cross multiply
    245,032x = 500,430 × 500,430
  4. Step 4: Simplify right side
    245,032x = 250,430,184,900
  5. Step 5: Solve for x
    x = 250,430,184,900/245,032
  6. Step 6: Final answer
    x = 1,022,030.53

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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.